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- Title Page
- T. Safranov, T. Shanina, T. Panchenko The problem of medical waste classification and treatment in Ukraine
- A.V. Glushkov Analysis and forecast of the hydroecological system pollution dynamics based on methods of chaos theory: New general scheme
- N. Berlinsky The conditions of the bottom sediments on the Black Sea shelf
- Tsurkan, N.V. Soils distribution of lands of agricultural designation by value categories
- O.Yu. Khetselius Forecasting evolutionary dynamics of chaotic systems using advanced non-linear prediction and neural networks methods: Application to hydroecological system pollution dynamics
- Yu.Ya. Bunyakova Dynamics of chemical pollution in the forested watersheds: New data on correlation dimension and chaos elements in time series
- G.P. Ivus, E.V. Ahayar, L.M. Hurska, S.O. Zubkovych To the question of typification synoptic processes over the territory of Ukraine
- A.V. Glushkov, A.А. Svinarenko, S.V. Ambrosov, Yu.Ya. Bunyakova, V.V. Buyadzhi, V.F. Mansarliysky The Earth angle moment balance, low-frequency atmospheric processes and radiowaveguides: Application of an advanced non-stationary theory
- E.A. Galich, B.A. Bondarenko Features of circulating atmospheric processes over the northern region of Pacific Ocean
- Bozhko L.Y., Drumov D.V. Weather conditions and development meadow moth
- Nedostrelova L.V. Review of modern approaches to classification of atmospheric blocking
- E. D. Gopchenko, Yе. O. Harkavenko Substantiation of scientific and methodological basis for determining the time of the slope inflow
- N.G. Serbov, A.A. Svinarenko, O.Yu. Khetselius, A.K. Balan Analysis of the fractal structures in chaotic processes: Time series of the Danube river’s dayly runoff and the extremal hydrological events
- A.V. Glushkov, O.Yu. Khetselius, N.G. Serbov, Yu.Ya. Bunyakova, A.K. Balan, V.V.Buyadzhi Modelling and forecasting the hydroecological systems pollution dynamics by using a chaos theory methods: I. Advanced data on pollution of the Small Carpathians river’s watersheds
- M.Y. Romanchuk, O.S. Lyashchenko Features of hydrological regimeofthe Danube river at the siteReni – Vilkove
- Zh.R. Shakirzanova, A.O. Kazakova Hydrometeorological factors and characteristics spring flood in basin of the Southern Bug in current climatic conditions
- E.D.Gopchenko, I.O.Hrushkovska Maximum flow of rain floods into the river basin of the Siversky Donets
- M.Y. Romanchuk, K.S.Tkach, A.A.Polischuk, A. Kolisnyk Assessment of water quality of the Dniester river – water intake for 1998-2012. for typical water years
- N.D. Otchenash Rationale for the choice of the regional climate model to analyze climate change and water resources within the limits catchment area of the estuary of Kuyalnik
- Yu. S. Tuchkovenko, Yu. I. Bogatova, O. A. Tuchkovenko Contemporary hydrochemical regime of Tyligulskiy Liman
- V.V. Adobovskiy, E.B. Krasnodembskiy Hydrometeorological terms in the nearshore area of the Odessa region in 2013-2014
- A.V. Glushkov Operator perturbation theory – new method of description of Stark resonance
- O.Yu. Khetselius Electroweak interactions in finite fermi systems and parity nonconservation effect
- Yu.А. Kruglyak, L.S. Kostritskya Generalized model of electron transport and heat transfer in micro- and nanoelectronics
- O.I. Gerasymov, N.N. Khudyntsev Voronoi tessellations: The classical theory of moments for structure description of granular materials
- V.O. Ilyina, V.V. Kostik, Y.G. Chernyakova Hydrodynamic characteristics of gas-liquid systems formed by dispersing the air by means of a glass filter Schott №4
- Yu.A. Kruglyak, L.V. Remenyak The role of electrostatics and contacts in the «bottom – up» approach of nanoelectronics
- O.Yu. Khetselius, I.N. Serga, D.E. Sukharev, A.N. Shahman Spectroscopy of pionic atoms and effects of strong pion-nucleon interaction
- Yu.A. Kruglyak, T.V. Kryzhanovskaya Non-equilibrium Green’s functions method in matrix representation. 2. Model transport problems
- Yu.G. Chernyakova, L.A. Vitavetskaya, P.G. Bashkaryova, Yu.V. Dubrovskaya, On the calculation of the matrix elements of the operator of interaction for three-quasiparticle atomic states in the framework of relativistic perturbation theory
- A.V. Ignatenko, T.A. Florko, T.B. Tkach, T.A. Khulakhli Generalized quantum defect approximation in relativistic perturbation theory for the rydberg systems
- A.A. Svinarenko, A.V. Glushkov, A.V. Ignatenko, V.V. Buyadzhi, A.V. Smirnov Relativistic method of description of the complex autoionization resonances in atomic spectra: review of method and new spectral data
- Rolshchikov V.B., Binkovska G.V., Shanina T.P. Development of geographic information system “Agricultural waste treatment in the Odessa oblast”
- D.Y. Vel'myskyn, Y.V. Buchynskaya, K.S. Murkyna Development of algorithms for digital processing of signals in the radiosonde upper-air sounding systems of the new generation
- Loieva I.D., Stepanenko S.M., Vladymyrova O.H., Safranov T.A. For 25 years formation and development environmental education in Odessa State Environmental University

The main goal of this research is medical waste, scientific classification and their treatment in Ukraine. The results based on analyses of different types of classification. The new classification had been done according of three categories. There are waste from veterinary clinics; human waste of medical institutions and municipal waste. Waste from veterinary clinics is specific category because contains specific microbes, toxins animal and vegetable origin. The municipal waste also consists on all types of medical waste except of nuclear and located on the dumping place. The danger medical waste must be separate and isolated from the general part of municipal waste and subjected to recycling. The principles of treatment: removal, destruction, disposal after disinfection, industrial processing had been proposed depends on ecological situation and component compounds. This classification is key element of the management system of medical waste.

- SanPiN 2.1.7.728-99. Pravila sbora, hraneniya i udaleniya othodov lechebno-profilakticheskih uchrezhdeniy [Terms of the collection, storage and disposal of health care institutions waste]. Moscow, 2010. 12 p.
- SanPiN 2.1.7.2790-10. Sanitarno-epidemiologicheskie trebovanija k obrashheniju s medicinskimi othodami [Sanitary requirements for the medical waste treatment]. Moscow, 2010. 18 p.
- Gurіna І.V. Liki Ukrainі – Medicines of Ukraine, 2012, no. 4 (21), pp. 51-54.
- Prodanchuk M.G., Povjakel L.І., Bobilova O.O., Berezhnov S.P. Suchasnі problemi toksikologії – Modern problems of toxicology, 2012, no. 1, pp. 57–68.
- Prots’ N. Ekologіja. Pravo. Ljudina – Ecology. Right. Human, 2013, no. 19–20 (59–60), pp. 103-116.
- Salmanov А. Praktika upravlіnnja medichnim zakladom – Practice Facility Management, 2012, vol.10, pp. 53-63.
- Popovich O.R., Atchishin U.J., Malovanij M.S., Javorіvs’ka І.M., Popovich N.J. Vіsnik L’vіvs’kogo nacіonal’nogo unіversitetu «L’vіvs’ka polіtehnіka»: Hіmіja, tehnologіja rechovin ta їh zastosuvannja – Bulletin of the Lviv National University “Lviv Polytechnic”: Chemistry, Technology Vìsn. Odes. derž. ekol. unìv., 2015, No 19
- Zueva L.P. (Ed.). Othody uchrezhdenij zdravoohranenija: sovremennoe sostojanie problemy, puti reshenija [Waste of health institutions: the current state of problems and solutions]. Saint-Petersburg, 2003, 43 p.
- Boravskij B.V., Boravskaja T.V., Desjatkova K.S. Spravochnoe rukovodstvo po obrashheniju s othodami lechebno-profilakticheskih uchrezhdeniyah [Reference for waste management of health care institutions]. Moscow: World Press, 2006, 432 p.

We present firstly a new whole technique of analysis, processing and forecasting any time series of the chemical pollutants in the typical hydroecological systems , which is schematically looked as follows: a). A general qualitative analysis of dynamical problem of the typical hydroecological systems (including a qualitative analysis from the viewpoint of ordinary differential equations, the “Arnold-analysis”); b) checking for the presence of a chaotic (stochastic) features and regimes (the Gottwald-Melbourne’s test; the method of correlation dimension); c) Reducing the phase space (choice of the time delay, the definition of the embedding space by methods of correlation dimension algorithm and false nearest neighbor points); d). Determination of the dynamic invariants of a chaotic system (Computation of the global Lyapunov dimension λ_{α}; determination of the Kaplan-York dimension dL and average limits of predictability Prmax on the basis of the advanced algorithms; e) A non-linear prediction (forecasting) of an dynamical evolution of the system. The last block indeed includes new (in a theory of hydroecological systems and environmental protection) methods and algorithms of nonlinear prediction such as methods of predicted trajectories, stochastic propagators and neural networks modelling, renorm-analysis with blocks of the polynomial approximations, wavelet-expansions etc.

- Bunyakova Yu.Ya., Glushkov A.V. Analysis and forecast of the impact of anthropogenic factors on air basein of an industrial city. Odessa: Ecology, 2010.256p. (In Russian)
- Glushkov A.V., Khokhlov V.N., Serbov N.G., Bunyakova Yu.Ya., Balan A.K., Balanyuk E.P. Low-dimensional chaos in the time series of concentrations of pollutants in an atmosphere and hydrosphere. Vìsn. Odes. derž. ekol. unìv. – Bulletin of Odessa state environmental university, 2007, vol. 4, pp.337-348. (In Russian)
- Glushkov A.V. Analysis and forecast of the anthropogenic impact on industrial city’s atmosphere based on methods of chaos theory: new general scheme. Ukr. gìdrometeorol. ž. – Ukranian hydrometeorological journal, 2014, no. 15, pp. 32-36.
- Khokhlov V.N., Glushkov A.V., Loboda N.S., Bunyakova Yu.Ya. Short-range forecast of atmospheric pollutants using non-linear prediction method. Atmospheric Environment. The Netherlands: Elsevier, 2008, vol.42, pp.7284–7292.
- Glushkov A.V., Khokhlov V.N., Prepelitsa G.P., Tsenenko I.A. Temporal variability of the atmosphere ozone content: Effect of North-Atlantic oscillation. Optics of atmosphere and ocean, 2004, vol.14, no.7, pp.219-223.
- Glushkov A.V., Loboda N.S., Khokhlov V.N. Using meteorological data for reconstruction of annual runoff series over an ungauged area: Empirical orthogonal functions approach to Moldova-Southwest Ukraine region. Atmospheric Research. Elseiver, 2005 vol.77 pp.100-113.
- Glushkov A.V., Kuzakon’ V.M., Khetselius O.Yu., Bunyakova Yu.Ya., Zaichko P.A. Geometry of Chaos: Consistent combined approach to treating chaotic dynamics atmospheric pollutants and its forecasting. Proceedings of International Geometry Center, 2013, vol.6, no.3, pp.6-13.
- Glushkov A.V., Rusov V.N., Loboda N.S., Khetselius O.Yu., Khokhlov V.N., Svinarenko A.A., Prepelitsa G.P. On possible genesis of fractal dimensions in the turbulent pulsations of cosmic plasma – galactic-origin rays – turbulent pulsation in planetary atmosphere system. Adv. in Space Research. Elsevier, 2008, vol.42(9), pp.1614-1617.
- Glushkov A.V., Loboda N.S., Khokhlov V.N., Lovett L. Using non-decimated wavelet decomposition to analyse time variations of North Atlantic Oscillation, eddy kinetic energy, and Ukrainian precipitation. Journal of Hydrology. Elseiver, 2006, vol.322, no. 1-4, pp.14-24.
- Glushkov A.V., Khetselius O.Yu., Brusentseva S.V., Zaichko P.A., Ternovsky V.B. Adv. in Neural Networks, Fuzzy Systems and Artificial Intelligence. Series: Recent Adv. in Computer Engineering. Gdansk: WSEAS, 2014, vol.21, pp.69-75. (Ed.: J. Balicki).
- Glushkov A.V., Svinarenko A.A., Buyadzhi V.V., Zaichko P.A., Ternovsky V.B. Adv.in Neural Networks, Fuzzy Systems and Artificial Intelligence, Series: Recent Adv. in Computer Engineering. Gdansk: WSEAS, 2014, vol.21, pp. 143-150 (Ed.: J. Balicki)
- Rusov V.D., Glushkov A.V., Vaschenko V.N., Myhalus O.T., Bondartchuk Yu.A. etal. Galactic cosmic rays – clouds effect and bifurcation model of the earth global climate. Part 1. Theory. Jour-nal of Atmospheric and Solar-Terrestrial Physics. Elsevier, 2010, vol.72, pp.498-508.
- Sivakumar B. Chaos theory in geophysics: past, present and future. Chaos, Solitons & Fractals, 2004, vol.19, №2, pp.441-462.
- Chelani A.B. Predicting chaotic time series of PM10 concentration using artificial neural network. Int. J. Environ. Stud, 2005, vol.62. №2, pp. 181-191.
- Gottwald G.A., Melbourne I. A new test for chaos in deterministic systems. Proc. Roy. Soc. London. Ser. A. Mathemat. Phys. Sci., 2004, vol.460, pp.603-611.
- Packard N.H., Crutchfield J.P., Farmer J.D., Shaw R.S. Geometry from a time series. Phys. Rev. Lett., 1980, vol.45, pp.712-716.
- Kennel M., Brown R., Abarbanel H. Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys. Rev. A., 1992, vol.45, pp.3403-3411.
- Abarbanel H.D.I., Brown R., Sidorowich J.J., Tsimring L.Sh. The analysis of observed chaotic data in physical systems. Rev. Mod. Phys, 1993, vol.65, pp.1331-1392.
- Schreiber T. Interdisciplinary application of nonlinear time series methods. Phys. Rep., 1999, vol.308, pp.1-64.
- Fraser A.M., Swinney H. Independent coordinates for strange attractors from mutual information. Phys. Rev. A., 1986, vol.33, pp.1134-1140.
- Grassberger P., Procaccia I. Measuring the strangeness of strange attractors. Physica D, 1983, vol.9, pp.189-208.
- Gallager R.G. Information theory and reliable communication. NY: Wiley, 1968. 608 p.
- Mañé R. On the dimensions of the compact invariant sets of certain non-linear maps. Dynamical systems and turbulence, Warwick 1980. Lecture Notes in Mathematics no.898. Berlin: Springer, 1981, pp.230-242. (Eds: D.A. Rand, L.S. Young).
- Takens F. Detecting strange attractors in turbulence. Dynamical systems and turbulence, Warwick 1980. Lecture Notes in Mathematics no.898. Berlin: Springer, 1981, pp.366-381. (Eds: D.A. Rand, L.S. Young).
- Prepelitsa G.P., Glushkov A.V., Lepikh Ya.I., Buyadzhi V.V., Ternovsky V.B., Zaichko P.A., Chaotic dynamics of non-linear processes in atomic and molecular systems in electromagnetic field and semiconductor and fiber laser devices: new approaches, uniformity and charm of chaos. Sensor Electronics and Microsystems Techn., 2014, vol.11, no.4, pp.43-57.

The formation of conditions of aquatic ecosystem in the Black Sea shelf including the level of pollutant in the bottom sediments had been examined during the last 30 years. Comparison of current data with the data of the late 20th century and their variability has been performed. In addition to this negative phenomenon a lot of contaminations and pollutant are taking out by river run off into the sea. In the process of sedimentation suspended matter into the bottom sediments is accumulated. It worsens the negative condition of the benthos organisms. It is the reason to see this problem using data base and possible literature to analyze the intensity, accumulation and distribution pollutants: heavy metals, oil in the Black sea shelf. In the Nothwestern Black Sea shelf significant increasing, by two orders, of copper, lead, and nickel concentrations in the bottom sediments compared with 80-ths in a period of 1991 – 2013 had been marked.

- Berlinskiy N.A. Dinamika tekhnogennogo vozdeyjstviya na prirodnye kompleksy ustjevoi oblasti Dunaya [Dynamics of anthropogenic impact on natural systems mouth area of the Danube]. Odessa : Astroprint, 2012, 252 p.
- Berlinskiy N.A., Garkavaya G.P., Bogatova Yu.I., Gon-charov A.Yu. Rayjonirovanie ukrainskogo sektora severo-zapadnoyj chasti Chernogo morya (po gidrofizicheskim i gidrokhimicheskim kharakteristikam) [Zoning Ukrainian sector north-western part of the Black Sea (in hydrophysical and hydrochemical characteristics)]. Ehkologicheskaya bezopasnostj pribrezhnoy i sheljfovoy zon i kompleksnoe ispoljzovanie resursov sheljfa [Ecological safety of coastal and shelf areas and comprehensive utilization of resources shelf]. Sevastopol, 2000, pp. 9–24.
- Zaitzev Yu.P. Severo-zapadnaya chastj Chernogo morya, kak objhekt sovremennih gidrobiologicheskih issledovaniy [The northwestern part of the Black Sea, as an object of modern hydrobiological studies]. Biologiya moray – Seas biology, 1977, vol. 43, pp. 3–6.
- Geologiya sheljfa USSR Litologiya [Geology of the USSR shelf Lithology]. Kiev: Haykova Dumka, 1985, 189 p.
- Gіdrologіchnі ta gіdrokhіmіchnі pokazniki stanu pіvnіchno-zakhіdnogo sheljfu Chornogo morya [Hydrological and hydrochemical indicators of the north-western shelf of the Black Sea]. Kyiv: JSC “Vipol”, 1998, 616 p.
- Edinaya gosudarstvennaya sistema informacii ob ostanovke v mirovom okeane (ESIM) [Unified state system of information about OS-SETTING in the world’s oceans (Yesim)]. Available at http://esimo.oceanography.ru/esp2/index/index/esp_id/10/section_id/8/menu_id/4065
- Mezhdunarodnye okeanologicheskie tablicy [International oceanographic tables]. Moscow: Gidrometeoizdat, 1969, vol. 1, 107 p.
- Metody gidrokhimicheskikh issledovaniy okeana. [Methods of hydrochemical investigations of the ocean]. Moscow: Nauka, 1978, 261 p.
- Pankratova T.M., Sebakh I.K. Ocenka raspredeleniya i puti migracii tyazhelihkh metallov v ehkosisteme Karkinitskogo zali-va [Assessment of the distribution and migration routes of heavy metals in the ecosystem of the Gulf Karkinit]. Trudy YugNIRO -Proc. of YugNIRO. 1994, vol. 40, pp. 150-156.
- Rukovodstvo po gidrologicheskim rabotam v okeanakh i moryakh [Guide to hydrological work in oceans and seas]. Leningrad: Gidrometeoizdat, 1977, 725 p.
- Rukovodstvo po gidrologicheskim rabotam v okeanakh i moryakh [Guide on chemical analysis of surface waters]. Leningrad: Gidrometeoizdat, 1977, 532 p.
- Rukovodstvo po khimicheskomu analizu morskikh vod RD 52.10.243-92 [Guide on chemical analysis of sea water 52.10.243-92 RD]. St. Petersburg: Gidrometeoizdat, 1993, 263 p.
- Sebakh L.K., Pankratova T.M. Ocenka zagryaznennosti Cher-nogo i Azovskogo moreyj v sovremennihkh antropogennihkh usloviyakh [Assessment of pollution in the Black Sea and Azov Sea in modern anthropogenic conditions]. Trudy YugNIRO -Proc. of YugNIRO. 1995, vol. 41, pp. 91–93.
- Berlinsky N., Bogatova Yu., Garkavay G. Estuary of the Danube River. The Handbook of Environmental Chemistry. (Estuaries). Springer-Verlag: Berlin-Heidelberg, 2006, vol. 5, part H, pp. 233–264.
- Gomoiu M-T. New Approaches in the Assessment of the Black Sea Ecosystems. GEO-ECO – MARINA 9 10/2003 – 2004 National Institute of Marine Geology and Geoecology Modern and Ancient Fluvial, Deltaic and Marine Environments and Processes. Proceedings of Euro – EcoGeoCentre. Romania, (21-22 April 2004, Istanbul, Turkey), pp. 3-7.

Foreign experience of classification and preservation of especially valuable lands has been analysed. It has been offered to distribute agricultural lands by five value categories of these lands: ‘the first principal’ category includes the best agricultural lands according to item 1 a of Article 150 of the Ukrainian Land Code; ‘the second principal’ contains unique agricultural lands and the lands of experimental fields of scientific research and educational institutions; ‘the first additional’ includes valuable agricultural lands within the country; ‘the second additional’ comprises agricultural lands of local significance; and ‘additional’ consists of lands that are not appropriate for agricultural production. Withdrawal (or redemption) of the first three land categories is possible either in accordance with the resolution of the Ukrainian Cabinet of Ministers or by the decision of the corresponding local council on condition that the issue about withdrawal (or redemption ) comes to and agreement with the Supreme Rada of Ukraine. Withdrawal (resolution ) of lands of the last two categories is possible according to the resolution of the Regional Land Resources Management Agency. On the example of the Izmail natural-agricultural region, the soils distribution of lands of agricultural designation is conducted by value categories.

- Definition, Identification overvågning of VUL Farmland in Germany. Available at: http: // www. bfn. de / fileadmin / MDB / docume nts / themen / monitoring / Conferenc_Vilm_HNV_ ind_final. pdf.
- Dimalexis T. Identificationem summae naturae Value agricul-turae et forestry terra. Hellenic Ornithological Society (HOS). Available at: http: // www. Latsis-foundation.org/files/ Pro-grammes 2008-2009 / Hadjimichalis-final-report.pdf.
- Hennenberg K. Criteria et Indicatores Identifi Map et summae naturae Value AreasIuncturam International Workshop on sum-mae naturae Value Criteria et Potential for Sustainable Use turpissimarum Terris, Dominiis Paris, XXX June-July I, MMVIII. Available at: http: // www. bioenergywiki. net/images/1/1e/OEKO_CI_RSB_2008_Joint_Issue-Paper_Criteria_WS_Paris_2008.pdf.
- Pointereau P. Identificationem summae naturae Value ruris in Gallia erant per statisticalinformation usu lustrat et colonicum. Available at: http: // ams. Jrc. It /publications / pdfs / JRC_ HNV_France.pdf.
- Prime ruris soil map unitates. Available at: http://nesoil.com/prime1.html.
- Аpplication summae naturae Value Impact Indicator 2007-2013 European Communities. – MMIX. Available at: http: // ec. eu-ropa.eu / agriculture / rurdev / eval / hnv / guidance_en. pdf.
- Аpplication summae naturae Value Impact Indicator 2007-2013. European Communities. – MMIX. Available at: http: // www. bioenergywiki. net/images/1/1e/OEKO_CI_RSB_2008_Joint_Issue-Paper_Criteria_WS_Paris_2008.pdf.
- Dorosh Y.M. Osoblyvosti formuvannya obmezhen’ (obtyazhen’) u vykorystanni zemel’ [Features of formation of restrictions (encumbrances) in land use]. Zemlevporyadnyy visnyk. 2010. № 9. P.39–43.
- Zemel’nyy kodeks Rossyyskoy Federatsyy [The Land Code of the Russian Federation] 25.10.2001 №136 – FZ. – Moscow: Prospekt, 2008. – 112 p.
- Zemel’nyy Kodeks Ukrayiny [Zemel’nyy Kodeks Ukrayiny] : 25.10.2001.
- Kanash O.P. Pro osoblyvo tsinni grunty yak providnyy indykator osoblyvo tsinnykh zemel’ [On particularly valuable soils as a leading indicator of especially valuable lands]. /Zemleustriy i kadastr. 2012. № 4. P.33 – 49.
- Kyryenko T.N. Obshchye zakonomernosty evolyutsyy pochv yuha Ukrayny pod vlyyanyem kul’tury zatoplyaemoho rysa: Avtoref. dys. na soyskanye stepeny d. s.-kh. nauk [Sharing zakonomernosty evolution soils of South Ukraine Under Influence Culture zatoplyaemoho feature: Author. thesis. on soyskanye degree d.s.-h. Sciences]. Kharkov, 1984. 41 p.
- Nykolaeva S.A., Maynasheva H.M. O dehradatsyonnykh yzmenenyyakh chernozemov, yspol’zuemykh v rysoseyanyy [About dehradatsyonnыe changed chernozemov used in rysoseyanyy]. Plodorodye chernozemov v svyaty s yntensyfykatsyey ykh yspol’zovanyya. Nauchnye trudy Pochv. yn-ta ymeny V.V. Dokuchaeva. Moscow, 1989. P.189-199.
- Novakovs’kyy L.Ya., Oleshchenko M.A. Sotsial’no-ekonomichni problemy suchasnoho zemlekorystuvannya [Social and economic problems of modern land use]. Kyiv: Urozhay, 2007. 276 p.
- Ryshkova L.V. Klasyfikatsiya osoblyvo tsinnykh zemel’ yak peredumova yikh vynyknennya ta formuvannya pravovoho rezhymu [Classification particularly valuable land as a precondition for their emergence and formation of the legal regime .] Pravova derzhava: napryamy ta tendentsiyi yiyi rozbudovy v Ukrayini: materialy Mizhnarodnoyi naukovo-praktychnoyi internet-konferentsiyi. Ternopil, 2007. P.38 – 39.
- Ryshkova L.V. Pravove rehulyuvannya okhorony ta vykorystannya OTsZ : avtoref. dys. na zdobuttya nauk. stupenya kand. yuryd. nauk [Rights Protection and Use REC: Author thesis on competition sciences, degree candidate, legal sciences]. Kharkov: Nats. Yuryd. Akad. Ukrayiny im. Yaroslava Mudroho, 2010. 20 p.
- Tretyak A.M., Dorosh Y.M. Klasyfikatsiya zemel’ za yikhnimy katehoriyamy, typamy zemlekorystuvannya, tsil’ovym pryznachennyam ta dozvolene vykorystannya zemel’ [Classification of land in their categories, types of land use purpose and permitted use of land]. Zemlevporyadnyy visnyk .2009. № 5. P. 20–32.
- Chepkov B.M., Panochko M.M. Suchasnyy stan ta propozytsiyi shchodo vdoskonalennya klasyfikatsiyi zemel’ [Current state and proposals to improve the classification of land]. Zemleustriy i kadastr. 2004. № 3–4. P. 41-61.

We present an improved generalized approach to the analysis and prediction of the nonlinear dynamics of chaotic systems based on the methods of nonlinear analysis and neural networks. As the object of study are the hydroecological systems (pollution dynamics). Use of the information about the phase space in the simulation of the evolution of the physical process in time can be considered as a major innovation in the modeling of chaotic processes in the hydroecological systems. This concept can be achieved by constructing a parameterized non-linear function F (x, a), which transform y (n) to y(n+1) = F[y(n),a], and then use different criteria for determining the parameters a . Firstly to build the desired functions it is offered using the wavelet expansions. Further, since there is the notion of local neighborhoods, we can create a model of the process occurring in the neighborhood, at the neighborhood and by combining together these local models to construct a global non-linear model to describe most of the structure of the attractor.

- Khetselius О.Yu. Forecasting chaotic processes in hydroecologi-cal systems on the basis of attractors conception and neural networks approach: application. Ukr. gìdrometeorol. ž – Ulrainian Hydrometeorology Journal, 2014, no. 15, pp. 16-21.
- Abarbanel H.D.I., Brown R., Sidorowich J.J., Tsimring L.Sh. The analysis of observed chaotic data in physical systems. Rev. Mod. Phys., 1993, vol.65, pp. 1331-1392.
- Schreiber T. Interdisciplinary application of nonlinear time series methods. Phys. Rep., 1999, vol. 08(1), pp. 1-64.
- Glushkov A.V. Analysis and forecast of the anthropogenic impact on industrial city’s atmosphere based on methods of chaos theory: new general scheme. Ukr. gìdrometeorol. ž – Ulrainian Hydrometeorology Journal, 2014, no. 15, pp. 32-36.
- Kennel M., Brown R., Abarbanel H. Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys. Rev.A, 1992, vol.45, pp. 3403-3411.
- Turcotte D.L. Fractals and chaos in geology and geophysics. Cambridge: Cambridge University Press, 1997.
- Mañé R. On the dimensions of the compact invariant sets of certain non-linear maps. Lecture Notes in Mathematics. Berlin: Springer), 1981, vol. 898, pp. 230-242.
- Grassberger P., Procaccia I. Measuring the strangeness of strange attractors. Physica D., 1983, vol. 9, pp. 189-208.
- Bunyakova Yu.Ya., Glushkov A.V. Analysis and forecast of the impact of anthropogenic factors on air basin of an industrial city. Odessa: Ecology, 2010. 256 p.
- Glushkov A.V., Khokhlov V.N., Prepelitsa G.P., Tsenenko I.A. Temporal variability of the atmosphere ozone content: Effect of North-Atlantic oscillation. Optics of atmosphere and ocean, 2004, vol.14, no. 7, pp. 219-223.
- Glushkov A.V., Svinarenko A.A., Loboda A.V. Theory of neural networks on basis of photon echo and its program realization. Odessa, TES, 2004. 280 p.
- Glushkov A.V.,Loboda N.S., Khokhlov V.N. Using meteorological data for reconstruction of annual runoff series over ungauged area: Empirical orthogonal functions approach to Moldova- Southwest Ukraine region. Atmospheric Research. Elsevier, 2005, vol. 77, pp. 100-113.
- Glushkov A.V., Loboda N.S., Khokhlov V.N., Lovett L. Using non-decimated wavelet decomposition to analyse time variations of North Atlantic Oscillation, eddy kinetic energy, and Ukrainian precipitation. Journal of Hydrology. Elsevier, 2006, vol. 322, no. 1-4, pp. 14-24.
- Khokhlov V.N., Glushkov A.V., Loboda N.S., Bunyakova Yu.Ya. Short-range forecast of atmospheric pollutants using non-linear prediction method. Atmospheric Environment. Elsevier, 2008, vol. 42, pp. 7284–7292.
- Glushkov A.V., Khetselius O.Yu., Brusentseva S.V., Zaichko P.A., Ternovsky V.B. Adv. in Neural Networks, Fuzzy Systems and Artificial Intelligence, Series: Recent Adv. in Computer Engineering. Gdansk: WSEAS, 2014, vol. 21, pp. 69-75 (Ed.: J. Balicki).
- Glushkov A.V., Svinarenko A.A., Buyadzhi V.V., Zaichko P.A., Ternovsky V.B. Adv.in Neural Networks, Fuzzy Systems and Artificial Intelligence, Series: Recent Adv. in Computer Engineering. Gdansk: WSEAS, 2014, vol. 21, pp. 143-150 (Ed.: J. Balicki).
- Glushkov A.V., Khetselius O.Yu., Bunyakova Yu.Ya., Grushevsky O.N., Solyanikova E.P. Studying and forecasting the atmospheric and hydroecological systems dynamics by using chaos theory methods. Dynamical Systems Theory. Polland: Lodz, 2013, vol. T1, pp. 249-258. (Eds: J. Awrejcewicz, M. Kazmierczak, P Olejnik, J Mrozowski).
- Khetselius O.Yu. Forecasting evolutionary dynamics of chaotic systems using advanced non-linear prediction method. Dynamical Systems Applications. Polland: Lodz, 2013, vol. T2, pp. 145-152 (Eds: J. Awrejcewicz, M. Kazmierczak, P Olejnik, J Mrozowski).
- Bunyakova Yu.Ya., Glushkov A.V., Analysis and forecast of the impact of anthropogenic factors on air basein of an industrial city. Odessa: Ecology, 2010. 256 p. (In Russian).
- Glushkov A.V., Khokhlov V.N., Serbov N.G., Bunyakova Yu.Ya., Balan A.K., Balanyuk E.P. Low-dimensional chaos in the time series of concentrations of pollutants in an atmosphere and hydrosphere. Vìsn. Odes. derž. ekol. unìv.– Bulletin of Odessa state environmental university, 2007, no. 4, pp. 337-348.
- Svinarenko A.A., Khetselius O.Yu., Mansarliysky V.F., Romanenko S.I. Analysis of the fractal structures in turbulent processes. Ukr. gìdrometeorol. ž – Ulrainian Hydrometeorology Journal, 2014, no. 15, pp. 74-78.
- Daubechies I. Ten Lectures on Wavelets. Philadelphia: SIAM, 1992.
- Morlet J., Arens G., Fourgeau E. and Giard D. Wave propagation and sampling theory. Geophysics, 1982, vol.47, pp. 203-236.
- Nason G., von Sachs R., Kroisand G. Wavelet processes and adaptive estimation of the evolutionary wavelet spectrum. J.Royal Stat. Soc., 2000, vol. B62, pp. 271-292.
- Glushkov A.V., Khokhlov V.N., Svinarenko A.A., Bunyakova Yu.Ya., Prepelitsa G.P. Wavelet analysis and sensing the total ozone content in the earth atmosphere: Mycros technology “Geomath”. Sensor Electr. and Microsys.Techn., 2005, vol. 2(3), pp. 51-60.
- Glushkov A.V., Khokhlov V.N., Tsenenko I.A. Atmospheric teleconnection patterns: wavelet analysis. Nonlin. Proc.in Geophys., 2004, vol. 11, no. 3, pp. 285-293.

An improved theoretical scheme for sensing temporal and spatial structure of the chemical pollution substances in the forested watersheds is theoretically investigated and applied to an analysis and modelling the concentrations of phosphates and nitrates. The effects of stochasticity and chaotic features in the chemical pollution structure of the watersheds are discovered on the basis of the correlation dimension approach to empirical time series data. As the concrete example, there are studied a dynamics of the daily values of the concentrations of phosphates and nitrates, water flows (forested watershed Maleno, Small Carpathians, Slovakia) in 1991/1992 years and the relationship between the correlation dimension and embedding dimension is computed. The finite correlation dimensions obtained for the two series indicate that they all exhibit chaotic behaviour. The presence of the deterministic chaos elements at each of the two studied scales suggests that the dynamics of transformation of the chemical pollution component between these scales may also exhibit chaotic behaviour. This, in turn, may imply the applicability (or suitability) of a chaotic approach for transformation of the the pollution component data from one scale to another. Thus, for hydroecological systems it can be principally possible a scenario of so-called automodelity.

- Bunyakova Yu.Ya., Glushkov A.V. Analysis and forecast of the impact of anthropogenic factors on air basin of an industrial city. Odessa: Ecology, 2010. 256 p. (In Russian)
- Glushkov A.V., Khokhlov V.N., Serbov N.G., Bunyakova Yu.Ya., Balan A.K., Balanyuk E.P. Low-dimensional chaos in the time series of concentrations of pollutants in an atmosphere and hydrosphere. Vìsn. Odes. derž. ekol. unìv.– Bulletin of Odessa state environmental university, 2007, no. 4, pp. 337-348. (In Russian)
- Glushkov A.V., Svinarenko A.A., Buyadzhi V.V., Zaichko P.A., Ternovsky V.B. Adv.in Neural Networks, Fuzzy Systems and Artificial Intelligence, Series: Recent Adv. in Computer Engineering. Gdansk: WSEAS, 2014., vol.21, pp. 143-150. (Ed.: J. Balicki)
- Khokhlov V.N., Glushkov A.V., Loboda N.S., Bunyakova Yu.Ya. Short-range forecast of atmospheric pollutants using non-linear prediction method. Atmospheric Environment. The Netherlands:

Elsevier; 2008, vol.42, pp. 7284–7292. - Glushkov A.V., Khokhlov V.N., Prepelitsa G.P., Tsenenko I.A. Temporal changing of the atmosphere methane content: an influence of the NAO. Optics of atmosphere and ocean, 2004, vol.4, №7, pp. 593-598.
- Glushkov A.V., Khokhlov V.N., Bunyakova Yu.Ya. Renormgroup approach to studying spectrum of the turbulence in atmosphere. Meteor.Climat.Hydrol, 2004, no. 48, pp. 286-292.
- Glushkov A.V., Khokhlov V.N., Tsenenko I.A. Atmospheric teleconnection patterns and eddy kinetic energy content: wavelet analysis. Nonlinear Processes in Geophysics, 2004, vol. 11, no. 3, pp. 285-293.
- Glushkov A.V., Khokhlov V.N., Serbov N.G, Bunyakova Yu.Ya., Balan A.K., Balanjuk E.P. Low-dimensional chaos in the time series of the pollution substances concentrations in atmosphere and hydrosphere. Herald of Odessa State Environmental University, 2007, no. 4, pp. 337-348.
- Serga E.N., Bunyakova Yu.Ya., Loboda A.V., Mansarliysky V.F., Dudinov A.A. Multifractal analysis of time series of indices of the Arctic, the Antarctic and the Southern Oscillation. Ukr. gìdrometeorol. ž – Ulrainian Hydrometeorology Journal, 2013, no. 13, pp. 41-45.
- Schreiber T. Interdisciplinary application of nonlinear time series methods. Phys. Rep., 1999, vol. 308, pp. 1-64.
- Grassberger P, Procaccia I. Measuring the strangeness of strange attractors. Physica D, 1983, vol. 9, pp. 189–208.
- Havstad J.W., Ehlers C.L. Attractor dimension of nonstationary dynamical systems from small data sets. Phys. Rev. A., 1989, vol. 39, pp. 845–853.
- Berndtsson R., Jinno K., Kawamura A., Olsson J., Xu S. Dynamical systems theory applied to long-term temperature and precipitation time series. Trends in Hydrol, 1994, vol. 1, pp. 291–297.
- Barnston A.G., Livezey R.E. Classification, seasonality and persistence of low-frequency atmospheric circulation patterns. Mon. Wea. Rev., 1987, vol. 115, pp. 1083-1126.
- Morlet J., Arens G., Fourgeau E., Giard D. Wave propagation and sampling theory. Geophysics, 1982, vol. 47, pp. 203-236.
- Nason G., von Sachs R., Kroisand G. Wavelet processes and adaptive estimation of the evolutionary wavelet spectrum. J. Royal Stat. Soc., 2000, vol. B-62, pp. 271-292.
- Glushkov A.V., Khokhlov V.N., Loboda N.S., Ponomarenko E.L. Computer modelling the global cycle of carbon dioxide in system of atmosphere-ocean and environmental consequences of climate change. Environmental Informatics Arch, 2003, vol.1, pp. 125-130.
- Mandelbrot B.B. Fractal Geometry of Nature. N.-Y.: W.H. Freeman, 1982.
- Bunyakova Yu.Ya., Glushkov A.V. Laser emission analysis of the fractal dusty atmosphere parameters. Preprint of the I.I. Mechnikov Odessa Nat.Univ., NIIF., N4.-Odessa, 2004.
- Inhaber H. A set of suggested air quality indices for Canada. Atmos. Environ., 1975, vol. 9, pp. 353–364.
- Ott W.R., Thom G.A. Critical review of air pollution index systems in the United States and Canada. J. Air Pollut. Contr. Assoc., 1976, vol. 26, pp. 460–470.
- Bunyakova Yu.Ya. Air pollution field structure in the industrial city’s atmosphere: New data on stochasticity and chaos. Ukr. gìdrometeorol. Ž – Ulrainian Hydrometeorology Journal, 2014, no. 15, pp. 22-26.
- Glushkov A.V., Serbov N.G., Balan A.K., Shakhman I.A., Solyanikova E.P. Chaos-geometric approach to modeling the temporal fluctuations of the concentration of pollutants in the river water. Ukr. gìdrometeorol. ž – Ulrainian Hydrometeorology Journal, 2014, no. 15, pp. 183-187. (In Russian).
- Serbov N.G., Balan A.K., Solyanikova E.P. Multivariate system and multifractal approaches in modeling extreme high floods (for example, r. Danube) and temporal fluctuations in the concentrations of pollutants in the river water. Vìsn. Odes. derž. ekol. unìv.– Bulletin of Odessa state environmental university, 2008, no. 6, pp. 7-13. (In Russian).
- Serbov N.G., Sukharev D.E., Balan A.K. Multivariate system and multifractal approach to modeling an extremely high floods on the example of the river. Danube. Ukr. gìdrometeorol. Ž -Ulrainian Hydrometeorology Journal, 2010, no. 7, pp. 167-171. (In Russian).
- Glushkov A.V., Khetselius O.Yu., Bunyakova Yu.Ya., Grushevsky O.N., Solyanikova E.P. Studying and forecasting the atmospheric and hydroecological systems dynamics by using chaos theory methods. Dynamical Systems Theory. Polland, 2013, vol. T1, pp. 249-258. (Eds.: J. Awrejcewicz et al).
- Svoboda A., Pekarova P., Miklanek P. Flood hydrology of Danube between Devin and Nagymaros in Slovakia. Nat. Rep.2000 of the UNESKO. Project 4.1. Intern.Water Systems, 2000, 96 p.
- Pekarova P., Miklanek P., Konicek A., Pekar J. Water quality in experimental basins.- Nat. Rep.1999 of the UNESKO.-Project 1.1. Intern.Water Systems, 1999, 98 p.

*Introduction*. In the conditions of modern climate change, interest to study of tendencies shaping of future wind regime and its extremal manifestations, and also use of wind energetic possibilities instead of the traditional, already limited stocks of oil, gas and coal, makes priority forecast of the future state of atmosphere.

*The purpose* of this publication is a study of the dynamics change of circulation processes over the territory of Ukraine using typification of synoptic situations over the specified region during the period 1992-2012.

*Methods*. As the starting materials used catalog types of synoptic processes over the territory of Ukraine for the period from 1992 to 2012 for the central months of the season, and the calendar of elementary circulation mechanisms (ECM) Dzerdzeevskogo B.L. For specification synoptic situations were also used weather maps of all levels.

*Results.* The structure of the macrocirculation conditions typical for Ukraine, including the regional characteristics of synoptic processes that lead, in conjunction with local physiographic conditions, to the establishment of the wind regime, reduced to six basic types and 17 subtypes. This includes: peripheral atmospheric processes, cyclonic and anticyclonic circulation, weakly gradient fields of pressure, peripheral atmospheric processes connected with passage of atmospheric fronts and cyclonic circulation with great pressure gradient. The authors analyze the changes of the circulation conditions for various seasons , as well as their connection with the types of ECM.

*Conclusion*. Conducted analysis of dynamics synoptic processes over the territory of Ukraine and the ECM for a twenty-year period allows you to: identify the most possible atmospheric processes, that form the weather conditions in Ukraine in recent decades; determined processes and types responsible for the observed intensification of wind speed and increasing the intensity of extreme weather events associated with the wind.

*Directions for further research should include the following*. Supposed to illustrate the relationship of synoptic processes and types of ECM over Ukraine with different indexes of circulation, such as A.L. Katz, the Arctic oscillation (AO), the North Atlantic oscillation (NAO), and others, during the study period.

- Kononova N.K. Klassifikatsiya tsirkulyatsionnykh mekhaniz-mov Severnogo polushariya po B.L. Dzerdzeevskomu [Classification circulation mechanisms of the Northern Hemisphere by BL Dzerdzeevskomu]. Moskow:Voentekhinizdat Publ., 2009, 372 р. (Ed. Shmakin A.B.)
- Bagrov N.A. O nekotorykh voprosakh podyskaniya analoga dlya dannogo obraza [About some questions of searching analogue for current image]. Trudy GMTs SSSR – Proceedings of the HMC USSR, 1973, Vol. 106, pp. 78-104.
- Vasyukov K.A., Zverev N.I., Ped’ D.A. Prognoz sinopticheskikh protsessov na tekushchiy period s pomoshch’yu analoga [Forecast synoptic processes for the current period using the analog]. Meteorologiya i gidrologiya -Meteorology and Hydrology, 1962, № 1, pp. 27-33.
- Gruza G.V., Ran’kova E.L., Esterle G.R. Skhema adaptivnogo statisticheskogo prognoza s ispol’zovaniem gruppy analogov [Diagram of an adaptive statistical forecast using peer group]. Trudy VNIIGMI-MTs – Proceedings RIHMI IDC, 1976, Vol. 13, pp. 5-25.
- Klimenko L.V. Sinoptiko-klimaticheskaya tipizatsiya atmosfernykh protsessov i ee katalog [Synoptic-climatic typing in atmospheric processes and its catalog]. Moskow: Lomonosov Moscow State University, 1976. 106 p.
- Kats A.L. Indeks tsirkulyatsii kak pokazatel’ zonal’nykh i meridional’nykh sinopticheskikh protsessov [Circulation index as an indicator of the zonal and meridional synoptic processes]. Meteorologiya i gidrologiya – Meteorology and Hydrology, 1959, № 5, pp. 3-8.
- Martazinova V. The Classification of Synoptic Patterns by Metod of Analog. J. Environ. Sci. Eng., 2005, 7, pp. 61-65.
- Martazinova V., Ivanova E. Long-range weather forecasting in the Ukraine. 3 rd European Conference on Application of Meteorology. Th. AGU Fall Meeting. San-Francisco, 2004, pp. 267-268.
- Zubkovich S.A. Tipizatsiya sinopticheskikh protsessov nad Vostochnoy Ukrainoy [Typing of synoptic processes over Eastern Ukraine]. Ukrai’ns’kyj gidrometeorologichnyj zhurnal – Ukrainian Hydrometeorological Journal, 2010, №. 7, pp. 103-108.
- Ivus G.P. Umovy utvorennja ta prognozu slabkogo vitru bilja poverhni zemli ta inversij temperatury v rajoni Odesy [Terms formation and forecast a weak wind near the ground and temperature inversions near Odessa]. Kyiv: SMC Hydrometeorology Ministry of Education of Ukraine, 1998. 112 p.
- Ivus G.P., Semergej-Chumachenko A.B., Agajar E.V. Do problemy typizacii’ synoptychnyh procesiv nad pivdnem Ukrai’ny v suchasnyh umovah [To the problem of typing synoptic processes over the south of Ukraine in modern conditions]. Prychornomors’kyj ekologichnyj bjuleten’ – Black Sea environmental byuleten, 2009, № 2 (32), pp. 25-33.
- Ivus G.P. Specializovani prognozy pogody [Specialized weather forecast]. Odessa: TES Publ., 2012. 407 p.
- Lipіns’kiy V.M., Djachuk V.A., Babichenko V.M. (Eds.) Klimat Ukrai’ny [Climate Ukraine]. Kyiv: Vydavnyctvo Rajevs’kogo, 2003. 343 p.

We present the elements of a new advanced non-stationary theory of global mechanisms in atmospheric low-frequency processes, the balance of the angular momentum of the Earth, teleconnection effects and atmospheric radio waveguides. The theory is realized and implemented into Microsystem Technology “Geo-Math” and focused on the discovery and testing of new predictors for long-term and very long-forecasts of low-frequency atmospheric processes. The PC experiments have demonstrated an effectiveness of a new advanced theory in application to modeling balance of angular momentum, the atmospheric moisture turnover in relation to the genesis of tropospheric radio waveguides and succession processes of atmospheric circulation forms (teleconnection, front-genesis) in order to develop new practical sensors in long-term forecasting and modeling of low-frequency atmospheric processes. It is determined a link of tropospheric waveguide with atmospheric moisture circulation and, accordingly, with the shape of the atmospheric circulation over the position of the front sections of (atmospheric fronts as the main drives moisture). Atmospheric moisture cycle is linked with such typical low-frequency process as the angular momentum balance; the latter accounts violation of the atmosphere rotating balance with the Earth, which may be under developing meridional processes with the implementation of the mass transfer of air and steam between the tropical latitudes (with a large linear velocity) and slowly rotating air masses of the polar latitudes (a process of slow teleconnection).

- Glushkov A.V. R spectrum in planetary atmosphere system, “cosmic plasma – galactic cosmic rays”. Ukr. gìdrometeorol. ž. – Ukranian hydrome-teorological journal, 2013, no. 12, pp.25-30.
- Glushkov A.V., Ambrosov S.V., Bunyakova Yu.Ya., Mansarliysky V.F. Modelling balance of the earth angle moment, atmos-pheric processes and radiowaveguides: Advanced non-stationary theory. Ukr. gìdrometeorol. ž. – Ukranian hydrometeorological journal, 2014, no.15, pp.59-64.
- Glushkov A.V., Khokhlov V.N., Bunyakova Yu.Ya., Prepelitsa G.P., Svinarenko A.A., Tsenenko I.A. Sensing the nonlin-ear interaction between global teleconnection patterns: micros technology “Geomath”. Sensor Electr. and Microsyst. Techn., 2006, vol.3, no. 1, pp.64-70.
- Ambrosov S.V., Serga E.N., Mansarliysky V.F., Kol’tsova N.Yu.

The balance of the angular momentum of the Earth and atmos-pheric Radio waveguides: Elements of non-stationary theory. Vìsn. Odes. derž. ekol. unìv. – Bulletin of Odessa state environ-mental university , 2012, vol.14, pp.234-239. - Glushkov A.V., Khokhlov V.N., Tsenenko I.A. Atmospheric teleconnection patterns and eddy kinetic energy content: wavelet analysis. Nonlinear Processes in Geophysics, 2004, vol.11, pp.285-293.
- Glushkov A.V., Loboda N.S., Khokhlov V.N., Lovett L. Using non-decimated wavelet decomposition to analyze time variations of North Atlantic Oscillation, eddy kinetic energy, and Ukrainian precipitation. Journal of Hydrology. The Netherlands: Elsevier, 2006, vol.322, no.1-4, pp.14-24.
- Glushkov A.V., Svinarenko A.A., Buyadzhi V.V., Zaichko P.A.,

Ternovsky V.B. Adv.in Neural Networks, Fuzzy Systems and Ar-tificial Intelligence, Series: Recent Adv. in Computer Engineer-ing. Gdansk: WSEAS, 2014, vol.21, pp.143-150.(Ed.: J. Balicki) - Mansarliysky V.F. Multifractal modeling characteristics of temporal indexes of the North-Atlantic, Southen oscillations, and vortex kinetical energy in the middle and tropic latitudes. Ukr. gìdrometeorol. ž. – Ukranian hydrometeorological journal, 2012, no.10, pp.171-175.

*Introduction.* Studies in the field of climate changes of the Earth and its regions are one of the main priorities for Earth science in recent years. Among numerous works on the “global warming” subject, the direction, in which close attention is paid to the study of mechanisms and causes of dynamics of quasistationary atmosphere action centers and atmospheric circulation indices, is recently formed.

*Results.* In the paper the features of the statistical structure of surface atmospheric pressure fields in the Northern Pacific are described for the period of 1957-2014. The seasonal dynamics of atmospheric activity centers such as Aleutian Depression and Honolulu High are studied. For systems of baric centers in the Pacific Ocean development of its characteristics in natural orthogonal functions are carried out. The principal components of the fields of atmospheric surface pressure are obtained and their statistical analysis is conducted. Using the Fourier transform method, statistically significant hidden periodicities are revealed in the time series of the principal components. By means of smoothing of time series of the principal components, long-term fluctuations and trends are determined.

- Bardyn M.Iu., Polonskyi A.B. Yzvestye RAN Seryia Fyzyky atmosfery y okeana -News RAS Atmospheric and Oceanic Physics, 2005, vol. 41, no 2. pp. 141-157.
- Voskresenskaia E.N., Polonskyi A.B. Morskoi hydrofyzycheskyi zhurnal- Marine Hydrophysical Journal, 1992, no 4, pp. 23-30.
- Sidorenkov N.S. Trudy hydromettsentra SSSR – Proceedings of the Hydrometeorological Center of the USSR, 1991, vol. 316. pp. 31-44.
- Sluzhba dannikh ЕСMWF ERA-40. Available at: http://www.ecmwf.int/products/data.
- Shkolnyi Ie.P., Loeva I.D., Goncharova L.D. Obrobka ta analiz hidrometeorolohichnoi ynformatsii [Processing and analysis of data the hydrometeorological]. Kiiv,1999. 578 p.
- Smirnov N.P., Vorobev V.N. Severo-Tykhookeanskoe kolebanye y dynamyka klymata v severnoi chasty Tykhoho okeana [North Pacific Oscillation and climate dynamics in the North Pacific]. St. Petersburgh: RSGU, 2002. 122 p.
- German Dj.P., Golberg Р.А. Solntse, pohoda y klymat [The sun, the weather and climate]. Leningrad, Gidrometeoizdat, 1981. 417 p.
- Mak-Kormak B., Seligi Т. Solnechno-zemnie sviazy, pohoda y klymat [Solar-terrestrial relations, weather and climate]. Moscow, 1982. 547 р.
- Latif M., Barnett T. Causes of Decadal climate variability over the North Pacific and North America. Science, 1994, vol. 266, pp. 634-637.
- Minobe S. Bidecadal and pentadecadal climatic oscillation over the North Pasific and North America. J.Fac. Sci.Hokkaido Univ.Ser., 1998, vol. 11, no 2, pp. 393-409.

A research aim are an exposure and analysis of terms that influence on adjusting of quantity of prattle moth on east of Ukraine, where the quantity of him grows the last years. For the achievement of this aim it was necessary to decide such tasks:: to study de-scription of climatic features of territory of расселения of prattle moth; to give environmentalist biological description of terms of development of wrecker; determination factors that influence on a quantity and distribution of wrecker. Meadow butterfly is one of the most dangerous pests of vegetables, tilled crops, perennial grasses and pastures. His strength is changing dramatically as in some years and for some generations. Depending on the area of climate and weather conditions this year meadow moth has from 1 to 4 different generations and uneven pace of development in various fields.This paper describes the study of the influence of agro meteorological conditions on the development of meadow butterfly populations in Eastern regions of Ukraine.

- Poljakov I.Ja. etc. Sovershenstvovanie metodov prognoza rasprostranenija lugovogo motyl’ka i signalizacii srokov bor’by s nim. – V kn.: Metody prognoza razvitija boleznej i vreditelej sel’skohozjajstvennyh kul’tur [[Perfection of methods of progno-sis of distribution of pratal moth and signaling of terms of fight against him]. Moskow: Kolos, 1984, pp. 5–59.
- Makarova L.A., Doronina G.M. Agrometeorologicheskie prediktory prognoza razmnozhenija vreditelej sel’skohozjajstvennyh kul’tur [Agricultural meteorology predictors of prognosis of reproduction of wreckers of agricultural cultures]. Leningrad: Gidrometeoizdat, 1988. 212 p.
- Druzhinina G.S., Makarova L.A. Pogoda i prognoz raz-mnozhenija vrednyh nasekomyh [Weather and prognosis of reproduction of harmfulinsects]. Leningrad: Gidrometeoizdat, 1972.
- Homjakova V.O. Zashhita rastenij [Reasons of reproduction of prattle moth]. Moscow, 1973, no. 5.
- Ulanova E.S., Sirotenko O.D. Metody statisticheskogo analiza v agrometeorologii [Methods of statistical analysis are in agricultural meteorology]. Leningrad: Gidrometeoizdat, 1978. 197 p.
- Poljakov I.Ja. etc. Prognoz razvitija vreditelej i boleznej sel’skohozjajstvennyh kul’tur (s praktikumom) [Prognosis of development of wreckers and illnesses of agricultural cultures (with practical work)]. Leningrad: «Kolos», 1984. 315 p.
- Shkol’nij YE.P. Metodi obrobki і analіzu gіdrometeorologіchnoi іnformatsіi [Methods of processing of hydrometeorological information]. Odessa: TES Publ., 2004.
- Poljakov I.Ja, Doronina G.M. , Makarova L.A. Prognoz faz dinamiki populjacіj lugovogo motyl’ka i signaliza cii srokov bor’by s nim [Prognosis of phases of dynamics of populations of prattle moth and signaling of terms of fight with]. Leningrad: VNIIZR, 1987. 39 p.

Blocking as a large-scale steady atmospheric process is a main reason of weather anomalies existing at weekly and seasonal time scales. It is very interesting to study these processes in view of medium and long-term weather forecasts, atmospheric processes modelling and climate monitoring. There are presently a large number of papers considering climatic features of atmospheric blocking. However the methodological differences in methods of blocking processes detection, the lack of common methods, and differences in the length of studied periods make difficulties for a climatic generalization of blockings. This article aims, on the one part, to review the existing methods suitable for the recognition of blocking processes and, on the other part, to offer an approach which uses the dynamic nature of blocking as basis. According to Tyrlis and Hoskins (2007), the basic characteristic of blocking is considered to be potentially warmer air being found at higher latitudes, i.e. the usual situation is reversal. Also, the spatial scales and duration of real blocking are larger than those for usual synoptic processes; these characteristics can be considered as additional. As a result, an inter-pretation of the basic blocking requirement is that large-scale wave breaking at the tropopause level is occurring. If consider the evolution of Rossby waves as a usual situation for the formation of blocking anticyclone in the troposphere, the 500-hpa geopotential height map can show that a horizontal axis of the baric ridge is oriented from southern west to northern east in the case of anticyclonic wind shear and from southern east to northern west in the case of cyclonic one. Both these configurations allow the atmospheric blocking by using different approaches to the calculation of blocking indices. The proposed approach was used to study and classify atmospheric blockings in Europe during the period from 1998 to 2008.

- Khromov S.P. Meteorologicheskiy slovar’. [Meteorological dictionary]. Leningrad, 1974. 568 p.
- Khandozhko L.A. Regional’nye sinopticheskie protsessy. [Regional synoptic processes]. Leningrad, 1988. 103 p.
- Ivus G.P., Efimov V.A. Fizika antitsyklogeneza. [Physics anticyclogenesis.]. Kyiv, 2005. 208 p.
- Shapovalova N.S. Blokiruyushchie obrazovaniya v atmosphere. [Blocking obrvzovaniya atmosphere]. Trudy GMTS SSSR – Proceedings GMC USSR, 1991, no. 316, pp. 68-73.
- Rex D.F. Blocking action in the middle troposphere and its effect on regional climate. II. The climatology of blocking action. Tellus, 1950, vol. 3, pp. 275-301.
- Shakina N.P., Ivanova A.R. Blokiruyushchie antitsyklony: sovremennoe sostoyanie issledovaniy i prognozirovayiya. [Blocking an-ticyclones: the current state of research and forecasting]. Meteorologiya i gidrologiya- Meteorology and hydrology, 2010, no. 11, pp. 5-18.
- Korovkina L.V. Sinoptiko-klimaticheskaya kharakteristika protsessov blokirovaniya v atmosphere. Obzornaya inforvatsyya. [Synoptic-climatic characteristic of blocking processes in the atmosphere. Overview]. Meteorologiya. Obninsk, 1988. 50 pp.
- Aristov N.A. Issledovaniye kvazistatsyonarnykh antitsyklonov, kharakternykh dlya estestvennykh sinopticheskikh periodov. [The study of quasi-stationary anticyclones characteristic of natural synoptic periods]. Trudy TSIP – Proc. CIF, 1949, no. 19(46), pp. 3-81.
- Borisova E.I., Khazova O.N. Povtoryaemost’ nekotorykh tipov statsyonarnykh antitsyklonov. [Revisit some types of stationary anticyclones]. Trudy TSIP – Proc. CIF, 1957, no. 56, pp. 31-70.
- Kivganov A.F., Goloshchak O.P. Antitsyklony Vostochnoy Evrohy. [Anticyclones of Eastern Europe]. Meteorologiya, klimatologiya i gidrologiya Meteorology, climatology and hydrology , 1998. no. 35, PP. 81-89.
- Goloshchak O.P. Blokiruyushchie protsessy Vostochnoy Evrohy. [Blocking processes in Eastern Europe]. Meteorologiya, klimatologiya i gidrologiya – Meteorology, climatology and hydrology, 1998, no. 35, pp. 90-98.
- Gruza G.V., Korovkina L.V. Sezonnyye osobennosti prostranstvennogo raspredeleniya indeksov blokirovaniya v Severnom polusharii. [Seasonal features of the spatial distribution of the index block in the Northern Hemisphere]. Meteorologiya i gidrologiya – Meteorology and hydrology, 1991, no. 3, pp. 108-110.
- Lupo A.R., Smith P.J. Climatological features of blocking anticyclones in the Northern Hemisphere. Tellus, 1995, vol. 47a, pp. 439-456.
- Pelly J.L., Hoskins B.J . A new perspective on blocking. J. Atmos. Sci, 2003, vol. 60, no. 3, pp. 743-755.
- Doblas-Reyes F.J. Sensitivity of the Northern Hemisphere blocking frequency to the detection index. Journal of Geophysical Research, 2002, vol. 107, no. D2. 0290.
- Diao Y. A new blocking index and its application: Blocking action in the Northern Hemisphere. Journal of Climate, 2006, vol. 19, no. 19, pp. 4819-4839.
- Tyrlis E. Aspects of a Northern Hemisphere atmospheric blocking climatology. Journal of the Atmospheric Sciences, 2008, vol. 65, no. 5, pp. 1638-1652.
- Tyrlis E. The morphology of Northern Hemisphere blocking. Journal of the Atmospheric Sciences, 2008, vol. 65, no. 5, pp. 1653-1662.
- Barriopedro D. Application of blocking diagnosis methods to General Circulation Models. Part I: a novel detection scheme. Climate Dynamics, 2010, vol. 35, no. 7-8, pp. 1373-1391.
- Barnes E.A. A methodology for the comparison of blocking climatologies across indices, models and climate scenarios. Climate Dynamics, 2012, vol. 38, no. 11-12, pp. 2467-2481.
- Weijenborg C. On the direction of Rossby wave breaking in blocking. Climate Dynamics, 2012, vol. 39, no. 12, pp. 2823-2831.
- Marques R.F.C., Rao V.B. Interannual variations of blockings in the Southern Hemisphere and their energetics. J. Geophys. Res., 2000, vol. 105, pp. 4625-4636.
- Burkhardt J.P., Lupo A.R. The planetary- and synoptic-scale interactsons in a Southern Pacific blocking episode using PV diagnostics. J. Atmos. Sci., 2005, vol. 62, no. 6, pp. 1901-1916.
- Lejenas H., Okland H. Characteristics of Northern Hemisphere blocking as determined from a long time series of observational data. Tellus, 1983, vol. 35A, pp. 350-362.
- Tibaldi S. On the operational predictability of blocking. Tellus, 1990, vol. 42A, no. 3, pp. 343-365.
- Thorncroft C.D. Two paradigms of baroclinic-wave life-cycle behaviour. Quarterly Journal of the Royal Meteorological Society, 1993, vol. 119, pp. 17-55.

*Introduction.* The article discusses the scientific and methodological approaches related to the problem of normalization of the design characteristics of maximum spring flood runoff in the basin of the Seversky Donets River, using the structure of the formula based on the geometric model of the spring flood hydrograph and riverbed isochrones.

*Purpose.* The subject of research is maximum runoff of spring flood in Severski Donets river basin. The task intention consist in substantiation normative-calculation base and on its ground to accomplish a spatial generalization of data of maximum runoff of rivers in Severski Donets river basin. *Methods.* For calculation of characteristics of maximum runoff of spring flood have suggested a great deal of calculation schemas and formulas. At present-day stage it classify for two group. First group it is empirical and semiempirical methods. Second group is methods that base on theory of channel isochronal. At present day we used regulations on calculation of characteristics of maximum runoff of spring flood on territory Ukraine in particular SNiP 2.01.14-83, refer to first group. The authors have proposed the computational scheme, it which is based on the geometric model of the spring flood hydrograph and riverbed isochrones. *Results.* The methods have been realize as exemplified in supervisions over maximum runoff of spring flood in Severski Donets river basin. Propose structure design formulas have been distinguish from that she is universal.

*Conclusion.* The methods have been lead to the level of direct practical use instead of obsolete regulations SNiP 2.01.14-83.

- Ресурсы поверхностных вод СССР.- Т.6. Вып.3. – Л.: Гидрометеоиздат, 1979.- Т.7. – 458 с.
- Основные гидрологические характеристики, под ред. З.И. Карпатовской, В.А. Луценко – Т.6. Вып.3. – Л.: Гидрометеоиздат, 1980. – 203 с.
- Гидрометеорология. Серия. Гидрология суши. Обзорная информация / Вып.2: Региональные модели формирования паводочного стока на территории СССР – Обинск: ВНИИГМИ, 1981 -60 с.
- Костяков А. Н. Основы мелиорации / А. Н. Костяков. – М.: Сельхозиздат, 1951. -350 с.
- Огиевский А. В. Основные закономерности в процессах стока на речных бассейнах / А. В. Огиевский – Л.: Гидрометеоиздат, 1945. -187 с.
- Соколовский Д. Л. Речной сток / Д. Л. Соколовский. – Л.: Гидрометеоиздат, 1959.- 527 с.
- Руководство по определению расчетных гидрологических характеристик. – Л.: Гидрометеоиздат, 1973. -111 с.
- Пособие по определению расчетных гидрологических характеристик. – Л.: Гидрометеоиздат, 1984. -447 с.
- Гопченко Е. Д. Нормирование характеристик максимального стока весеннего половодья на реках Причерноморской низменности: Монография / Е. Д. Гопченко, М. Е. Романчук. – К.: КНТ, 2005. – 148 с.
- Гопченко Е. Д. О редукции максимальных модулей дождевого стока по площади / Е. Д. Гопченко // Метеорология и гідрологія №2. – 1975. – С. 66-67

This paper goes on our investigations of the fractal structures in the chaotic and turbulent processes and connected with a great importance the experimental and theoretical studying of the non-linear dynamical systems with aim to discover the fractal features and elements of dynamical chaos. In this paper on the basis of wavelet analysis and multifractal formalism it is carried out an analysis of fractal structures in the chaotic processes (the time series of the daily runoffs for the Danube river, 1989-1998 years) and the spectrum of the fractal dimensions has been computed. It is carried out numerical modelling and fulfilled a comparison of theoretical data on runs with observed ones on the basis of the new approach to modeling the extremal hydrological events (flood etc.). The latter is based on the multi-factor systems formalism, in particular, system model with many inputs and one output.

- Svinarenko A.A., Khetselius O.Yu., Mansarliysky V.F., Romanenko S.I. Analysis of the fractal structures in turbulent processes. Ukr. gìdrometeorol. ž – Ulrainian Hydrometeorology Journal, 2014, no. 15, pp. 74-78.
- Khetselius O.Yu., Svinarenko A.A. Analysis of the fractal structures in wave processes. Vìsn. Odes. derž. ekol. unìv.– Bulletin of Odessa state environmental university, 2013, vol. 16, pp. 222-226.
- Abarbanel H.D.I., Brown R., Sidorowich J.J., Tsimring L.Sh. The Mandelbrot B. Fractal geometry of nature.Moscow: Mir, 2002.
- Schertzer D., Lovejoy S. Fractals: Physical Origin and Properites. N.-Y.: Plenum Press, 1990, pp. 71-92. (Ed.: Peitronero L.)
- Zaslavsky G.M. Stochasticity of dynamical systems. Moscow: Nauka, 1998.
- Zosimov V.V., Lyamshev L.M. Fractals in wave processes. Phys.Uspekhi, 1995, vol.165, pp. 361–402.
- Grassberger P., Procaccia I. Measuring the strangeness of strange attractors. Physica D., 1983, vol. 9, pp. 189-208.
- Kaplan J.L., Yorke J.A. Chaotic behavior of multidimensional difference equations. Functional differential equations and approximations of fixed points. Lecture Notes in Mathematics. Berlin: Springer, 1979, no. 730, pp. 204-227. (Eds: H.-O. Peitgen, H.-O. Walter)
- Packard N.H., Crutchfield J.P., Farmer J.D., Shaw R.S. Geometry from a time series. Phys. Rev. Lett, 1980, vol. 45, pp. 712-716.
- Schreiber T. Interdisciplinary application of nonlinear time series methods. Phys. Rep., 1999, vol. 308, pp. 1-64.
- Daubechies I. Ten Lectures on Wavelets. Philadelphia: SIAM, 1992.
- Morlet J., Arens G., Fourgeau E., Giard D. Wave propagation and sampling theory. Geophysics, 1982, vol.47, pp. 203-236.
- Nason G., von Sachs R., Kroisand G. Wavelet processes and adaptive estimation of the evolutionary wavelet spectrum. J.Royal Stat.Soc., 2000, vol. B62, pp. 271-292.
- Glushkov A.V., Khokhlov V.N., Svinarenko A.A., Bunyakova Yu.Ya., Prepelitsa G.P. Wavelet analysis and sensing the total ozone content in the earth atmosphere: Mycros technology “Geomath”. Sensor Electr. and Microsys.Techn., 2005, vol.2(3), pp. 51-60.
- Glushkov A.V., Khokhlov V.N., Tsenenko I.A. Atmospheric teleconnection patterns: wavelet analysis. Nonlin. Proc.in Geophys., 2004, vol. 11, no. 3, pp. 285-293.
- Glushkov A.V., Loboda N.S., Khokhlov V.N., Lovett L. Using non-decimated wavelet decomposition to analyse time variations of North Atlantic Oscillation, eddy kinetic energy, and Ukrainian precipitation. Journal of Hydrology. Elsevier, 2006, vol. 322, no. 1-4, pp. 14-24.
- Sivakumar B. Chaos theory in geophysics: past, present and future.Chaos, Solitons & Fractals, 2004, vol. 19, pp. 441-462.
- Svoboda A., Pekarova P., Miklanek P. Flood hydrology of Danube between Devin and Nagymaros in Slovakia.- Nat. Rep.2000, UNESKO.-Project 4.1. Intern.Water Systems. 2000. 96 p.
- Pekarova P., Miklanek P., Konicek A., Pekar J. Water quality in experimental basins. -Nat. Rep.1999 of the UNESKO.-Project 1.1. Intern.Water Systems., 1999. 98 p.
- Balan A.K.,Systems Approach in hydrology: Extremal Hydrological Events and Effect of Changes in Hydrospheres State. Proc. Intern. Conf. “Ecology of Siberia, the Far East and the Arctic”. SD RAN, 2001, p. 133.
- Glushkov A.V., Balan A.K., Multifractal approach for modeling flow and short-term hydrological forecasts (for example, r. Danube). Meteorology, Climatology and Hydrology, 2004, no. 48, pp. 392-396.
- Balan A.K. Method multifactorial system modeling in problems of calculation extremal hydrological phenomena. Meteorology, Climatology and Hydrology, 2002, no. 45, pp. 147-152.
- Glushkov A.V. Khokhlov V.N., Serbov N.G., Balan A.K., Bunyakova Y.Y., Balanyuk E.P. Low-dimensional chaos in the time series of concentrations of pollutants in the atmosphere and hydrosphere. Vìsn. Odes. derž. ekol. unìv.– Bulletin of Odessa state environmental university, 2007, no. 4, pp. 337-348.

*Introduction*: The Danube River is one of the largest rivers in the world that crosses 10 European countries. The Danube water is used for irrigation, navigation, fisheries’ needs and is a major source of recharge Danube lakes‘ water. There is the Danube Biosphere Reserve in Danube river’s estuarine area. Therefore it is important to define the character is tics of the distribution of the Danube’s annual runoff.

*The purpose* of this publication – is to clarify the nature of long-termand intra fluctuations of the annual flow during 50 years, namely from 1960 to 2010 due to the three hydrosections in: Reni, Izmail and Vylkove. Results of the research: The settlement period for all positions is presented as a single cycle fluctuations of average annual run off, which consists of a abounding phase during the interval of 1960-1982 (n1 = 22) and a dry one–during range of 1982-2010 (n2 = 28). In its long-term dynamics, average water discharge along the river has the same type. In intra annual distribution of monthly water consumption are clearly stood out the shallow period (January-February and August – December) and the high-water (March – July) period. The coefficient of variation Cv, the correlation between asymmetry and variation coefficient Cs / Cv, calculated using the method of moments during the year are characterized by the presence of negative trends. *Conclusions*: The results can be used directly in the calculation of monthly run off characteristics of different probability of exceedance within the lower reaches of the Danube river and in the implement of the Danube water exchange in lakes

- Mikhailov V. N. Gidrologiia del’ty Dunaia [Hydrology of the Danube Delta]. Moscow: GEOS Publ., 2004. 448 p.
- Kaganer M.S. Resursi poverkhnostnykh vod SSSR. Ukraina i Moldova. Vypusk 1. Zapadnaia Ukraina i Moldova.[Surface water resources of the USSR. Ukraine and Moldova. Issue 1. Western Ukraine and Moldova]. Part.6: L’vov.: Gidrometioiz-dat Publ., 1967. 492 p.
- Gopchenko E. D., Gushlia A. V. Gidrologiia s osnovami melioratsii [Hydrology with the basics of reclamation].,. L’vov. : Gidrometeoizdat Publ., 1988. 303 p.
- Rozhdestvenskii A.V., Chebotarev A.I:. Sinopticheskie metody v gidrologii [Synoptic methods in hydrology]. L’vov. : Gidrometeoizdat Publ., 1974. 424 p.
- Shkol’nii E.P., Loєva І.D., Goncharova L.D. Obrobka i analіz gіdrometeorologіchnoї іnformatsії : navch. posіb.[ Processing and analysis of hydrometeorological information: study guide]. Odesa.: TES Publ, 1999. 600 p.
- Gopchenko E..D., Loboda N.S., Ovcharuk V.A. Gіdrologіchnі rozrakhunki [Hydrological estimates]. Odesa.: TES Publ., 2014. 483 p.
- Rozhdestvenskii A.V., Lobanova A.G. Posobie po opredeleniiu raschetnykh gidrologicheskikh kharakteristik. [Manual for the definition of the calculated hydrological characteristics]. L’vov: Gidrometeoizdat Publ., 1984. 447 p.
- Sokolovskii D.L. Rechnoi stok [River discharge]. L’vov. : Gidrometeoizdat Publ., 1968. 540 p.

*Introduction.* In today’s climate change and observed changes in the water regime of rivers, including the spring flood runoff. An important role in the formation of runoff during spring flood play of factors an underlying surface and climate in basin of the Southern Bug.

*Purpose.* The aim is analyze hydrometeorological conditions of formation of spring flood in basin of the Southern Bug and research of trends to modern climate changes and their impact on the characteristics of maximum flow spring flood of the rivers on study area.

*Methods*. The paper used the methods of theoretical analysis, geographic aggregation, statistical processing of time series of hydrometeorological observations.

*Results*. Established that long-term course of hydrometeorological factors and characteristics of the runoff spring flood points to cyclical fluctuations in their expressed decreasing trend (except temperature) over the past decade.

*Conclusion*. Trends of time course of hidrometeorological factors and characteristics of spring flood in river basin of the Southern Bug should be refined with further accumulation of observational data in today’s climate change and water regime.

- Vyshnevs’kyy V.I., Kosovets’ O.O. Hidrolohichni kharakterystyky richok Ukrayiny [Hydrological characteristics of rivers Ukraine]. Kyiv: Nika-Tsentr Publ., 2003, 324 pp.
- Hrebin’ V.V. Suchasnyy vodnyy rezhym richok Ukrayiny (landshaftno-hidrolohichnyy analiz) [The current water regime of rivers Ukraine (landscape and hydrologic analysis)]. Kyiv: Nika-Tsentr Publ., 2010, 316 pp.
- Loboda N.S., Korobchynskaya A.A., Rudnyk A.A. Izmenenija klimata i ego vlijanie na reki Ukrayiny [Climate change and its impact on the river Ukraine]. Ukrainskyi gidrometeorologichnyi zhurnal – Ukr. gìdrometeorol. ž., 2010, no.6, pp. 199-204.
- Gorbachova L. Long-term dynamics of the main hydrometeorological characteristics of spring flood in the Desna River’s basin. Water resource and wetlands: international conference: Tulcea, 14-16 September 2012. Tranvestal, 2012, pp. 174-179.
- Gopchenko E.D., Ovcharuk V.A., Shakirzanova Zh.R. Zminy hidrometeorolohichnykh kharakterystyk vesnyanoho vodopillya na rivnynnykh richkakh Ukrayiny [Changes meteorological characteristics of spring flood in lowland rivers Ukraine]. Ukrainskyi gidrometeorologichnyi zhurnal – Ukr. gìdrometeorol. ž., 2012, no.10, pp. 133-142.
- Lipins’kyy V.M., Dyachuk V.A., Babichenko V.M. Klimat Ukrayiny [Climate Ukraine]. Kyiv: Vydavnutstvo Rayevs’koho Publ., 2003, 343 pp.
- Stepanenko S.M., Pol’ovyy A.M. (Eds.). Otsinka vplyvu klimatychnykh zmin na haluzi ekonomiky Ukrayiny [Assessing the impact of climate change on the field of economy of Ukraine]. Odesa: Ekolohiya Publ., 2011, 696 pp.
- Kul’bida M.I., Barabash M.B., Yelistratova L.O. Klimat Ukrayiny: u mynulomu…i maibutn’omu [Climate Ukraine: in the past … and future]. Kyiv: Stal’ Publ., 2000, 234 pp.

*Introduction*. As you know, rain floods belong to natural phenomena of nature, which are associated with the destruction of railways, flooding areas and commercial facilities. However the existing legal framework for the calculation of maximum flow isn’t perfect and requires some development.

*The purpose.* Improvement of calculation method for the establishment of maximum flow characteristics of rare probability of exceeding.

*Methods.* The foundation of the calculation method is based on the form of a geometric model unimodal runoff hydrographs spring flood. Some parameters are defined with the help of calculation procedures (in determining the of the slope coefficient of inflow and coefficient floodplain-regulation of the channel), as a result regionalization of some of them.

*Results.* The calculation formula for determining the maximum runoff spring flood was justified, it is realized on the observations in the basin of the Seversky Donets.

*Conclusion.* This scientific and methodological framework can be used to develop calculation schemes of maximum runoff waters and floods, and the results obtained from basin of the Seversky Donets River – can be directly used in practice.

- Sokolovskiy D. L. Rechnoy stok [River runoff]. Leningrad: Gidrometeoizdat, 1968. 538 p.
- Gopchenko E. D., Gushlja O. V. Gidrologija sushi z osnovamy vodnyh melioracij: Navch.posibnyk [Hydrology land reclamation of water with the basics]. Kiev: ISDO Publ., 1994. 296 p.
- Gopchenko E. D., Ovcharuk V. A. Formirovanie maksimal’nogo stoka vesennego polovod’ya v usloviyakh yuga Ukrainy [Formation of the peak flow of spring floods in Southern Ukraine]. Odessa, TES, 2002. 110 p.
- Gopchenko E. D., Romanchuk M. E. Normirovanie kharakteristik maksimal’nogo stoka vesennego polovod’ya na rekakh Prichernomorskoy nizmennosti [Normalization of peak flow characteristics of spring floods on the rivers of the Black Sea Lowland]. Kiev: KNT, 2005. 48 p.
- Posobie po opredeleniyu raschetnykh gidrologicheskikh kharakteristik [Manual for the definition of the calculated hydrological characteristics]. Leningrad: Gidrometeoizdat, 1984. 448 p.
- Voskresenskiy K. P. Gidrologicheskie raschety pri proektirovanii sooruzheniy na malykh rekakh, ruchyakh i vremennikh vodotokakh [Hydrologic calculations when designing structures on small rivers, streams and ephemeral streams]. Leningrad: Gidrometeoizdat, 1956. 467 p.
- Velikanov M. A. Gidrologiya sushi [Hydrology]. Leningrad: Gidrometeoizdat, 1948. 526 p.
- Befani A. N. Osnovy teorii livnevogo stoka [Fundamentals of the theory of storm water]. Trudy Odesskogo gidrometeorologicheskogo institute [Proceedings of the Odessa Hydrometeorological Institute]. Issue XIV, 1958, 309 p.
- Befani A. N., Befani N. F., Gopchenko E. D. Regional’nye modeli deformirovaniya stoku na teritorii SSSR [Regional models of deformation drain on the territory of the USSR]. Obninsk, 1981. 60 p.
- Kalinin G. P. Problemy global’noy gidrologii [Problems of global hydrology]. Leningrad: Gidrometeoizdat, 1968. 374 p.

*Introduction*. The main source of centralized water supply in Odessa, Belgorod-Dniester, Illichivsk, Teplodar, Yuzhny and surrounding areas have Dniester water. The chemical composition of natural water determines in front him the story, that way, taken with water during their cycle. Dissolved substances in such water will depend, on the one hand, the composition of the substances with which it faced the other – on the conditions in which these interactions occur. To influence the chemical composition of water can the following factors: rocks, soil, living organisms, Liu activity Rights, climate, topography, water regime, vegetation and hydrodynamic conditions that natural and anthropogenic factors

*Purpose of research* – evaluate quality of river and drinking water depending on the water content r. Dniester (for typical water content during theyears1998-2012yy.) and its regulatory compliance of existing ISO and detecting changes of nutrients typical water content for years.

*Results*. An analysis of changes in ammonia nitrogen can be concluded that the maximum value of am-monia nitrogen concentration of 0.53mg/dm3(at MAC – 2mg/dm3) observed in an average water content year andin the winter -the most importance to the summer – they are reduced to fall – again in creasing. The presence of nitrate nitrogen can be explained as the presence of nitriteitrogen in distrait wastewater, precipitation and others. There is a relation of nitrate nitrogen hydrological regime. The trend of changes in the concentration of nitrate nitrogen in the maximum, minimum an daverage water content is very similar years

*Conclusion*. Following the evaluation, the quality. Dniester – intake by determining the grade for hygiene indicators the method ISO 4808: 2007 “Sources of centralized drinking water supply. Hygienic and environmental requirements for water quality and selection rules “for 1998 – 2012rr. the following conclusions: – Water quality district. Dniester – s.Mayaky intake in the period from 1998 to 2012 is improving. From 1998 to 2007 the water – as “good”, clean water with a slope to the class of “satisfactory” weakly contaminated acceptable quality, according to the characteristics of classes according to ISO 4808: 2007 “Sources of central-ized drinking water supply. Hygienic and environmental requirements for water quality and selection rules. ” From 2010 to 2012 – the water is “good”, pure water of acceptable quality.

- Safranov T.A, Guseva K.D, Polishchuk A.A . Yakist dzherela tsentralizovanoho vodopostachannya Odeskoyi promyslovo- mistkoyi ahlomeratsiyi [The quality of centralized water supply source Odessa industrial agglomeration bridge].
- DSTU 4808:2007. «Dzherela tsentralizovanoho pit- noho vodo-postachannya . Hihiyenichni ta ekolohichni vymohy do yakosti vody y pravyla vyboru » [ISO 4808:2007 «Sources of centralized drinking water supply. Hygienic and environmental requirements for water quality and selection rules»].
- Palamarchuk M.M., Zakorchevna N.B. Vodnyy fond Ukrayiny : Dovidkoviy posibnyk [Water resources Ukraine: A Reference Guide]. Kiiv, 2001. 392 p.
- Rusev I.T. Del’ta Dnestra [Dniester Delta]. – Odessa, 2003. 766 p.
- Ekosistema Nizhnego Dnestra v usloviyakh usilennogo antropogennogo vozdeystviya [Lower Dniester ecosystem under intensive anthropogenic influence]. Kiev, 1990. 260 p.
- Metodyka vstanovlennya y yspolzovanye ekolohichnykh normativiv yakosti poverkhnevo vod sushi ta estuariyiv Ukrayiny [Method of installing and using environmental standards as surface water and estuaries Ukraine]. Kiev, 2001. 48 p.
- Kovalev N., Medinets V., Snigirev S., Derezyuk N. Otsenka kachestva vod vodnykh ob”yektov Nizhnego Dnestra [Evaluation of water quality of water bodies in the Lower Dniester]. 2009. 135 p.
- Hopchenko E.D., Hushlya O.V. Gidrologiya sushi s osnovami vodnykh melioratsiy [Hydrology land with the basics of water reclamation]. Leningrad, 1989. 296 p.

*Introduction.* At present critical environmental situation on Kuyal’nik Liman can be stated. The main danger for the estuary is its gradual drying. That is the result of global warming, reduction rivers inflow, sand extraction on its shores. Actuality of the work caused by the need of determining the future state of water resources of Kuyal’nik Liman watershed under global climate changes on the base of climate scenarios.

*The aim* of investigation is choice of global warming scenario (A1B or A2), the data of which have the great agreement with actual data.

*Research methods.* Method of calculation is based on a mathematical model “climate-runoff “, developed at the Odessa State Environmental University.

*The main results*. For determination of possible climate change scenarios A1B and A2 were selected. For modeling the air temperature and precipitation on meteorological stations Odessa, Razdel’naya, Zatish’e, Lyubashevka were used. Temperature regime is described with the same accuracy according to the both model REMO (scenario A1B) and the model RCA3 (scenario A2). Description quality of moisturizing regime is better in the model REMO.

*Conclusions*. For reception of reliable results in the calculation of the flow characteristics on scenarios data its recommend to use all grid nodes, which are located on the investigated catchment or close to it.

- Tuchkovenko Yu.S., Gopchenko Ye.D. (Eds) Aktual’nyye problemy limanov severo-zapadnogo Prichernomor’ya [Actual problems of estuaries northwestern Black Sea]. Odessa, 2012. 224 p.
- Tuchkovenko Yu.S., Loboda N.S. (Eds) Vodni resursy ta hidroekolohichnyy stan Tylihulʹsʹkoho lymanu [Water resources and hydroecological state Tiligul estuary]. Odessa, 2014. 276 p.
- Loboda N.S. Vliyaniye izmeneniy klimata na vodnyye resursy Ukrainy (modelirovaniye i prognozy po dannym klimaticheskikh stsenariyev) [The impact of climate change on water resources of Ukraine (modeling and forecasts according to climate scenarios)]. Kyiv: Nika-Center, 2011. P. 340-352. (Eds: V.M. Shestopalov, V.F. Loginov, V.I. Osadchii).
- Loboda N.S., Gryb O.M., Sirenko A.M. Otsinka pryplyvu prisnykh vod do Kuyalʹnytsʹkoho lymanu [Assessment of freshwater inflows to the Kuyal’nitskuy’s estuary]. Gidrologiia, gidrohimiia i gidroecologia – Hydrology, hydrochemistry and hydroecology. Kyiv, 2011, vol.1, no.22, pp. 51-59.
- Loboda N.S., Serbova Z.F., Bozhok Yu.V. Vplyv zmin klimatu na vodni resursy Ukrayiny u suchasnykh ta maybutnikh umovakh (za stsenariyem hlobalʹnoho poteplinnya A1B) [The impact of climate change on water resources of Ukraine in present and future condi-tions (the scenario of global warming A1B)]. Ukr. gìdrometeorol. ž. – Ukranian hydrometeorological journal, 2014. , no. 15, pp. 149-159.
- Loboda N.S., Bozhok Yu.V. U.S. Otsinka vodnykh resursiv richok vodozboru Tylihulʹsʹkoho lymanu v umovakh zmin hlobalʹnoho klimatu za stsenariyem M10 [Assessment of water resources of rivers catchment Tiligul estuary in a changing global climate scenario M10]. Vodni resursy ta hidroecolohichnyi stan Tylihulʹsʹkoho lymanu [Water resources and hydroecological condition of Tiligul estuary], 2014. pp. 112-128. (Ed: U.S. Tuchkovenko).
- Stepanenko S.M., Polevoy A.M. (Eds) Otsinka vplyvu klimatychnykh zmin na haluzi ekonomiky Ukrayiny [Assessing the impact of climate change on economics Ukraine]. Odessa, 2011. 696 p.
- P’yate natsionalʹne povidomlennya Ukrayiny z pytanʹ zminy klimatu [Fifth national communication of Ukraine on climate change]. Kyiv, 2009. 282 p.
- IPCC (2007) Climate Change 2007: The Physical Science Basis – Summary for Policymakers. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change. – Cambridge University Press, 2007. 996 p.
- Loboda N.S. The assessment of present and future Ukrainian water resources on meteorological evidence. Proceedings of The Second International Conference on Climate and Water. Espoo, Finland: Edita Ltd, Hesinki, 1998, vol.3, pp. 1486-1494.
- Pfeifer S. Modeling cold cloud processes with the regional climate model REMO. PhD Thesis. Hamburg: University of Hamburg, 2006. 120 p.
- Roeckner E., Arpe K., Bengtsson L., Cristoph M., Claussen M., Dumenil L., Esch M., Schlese U., Schulzweida U. The atmospheric general circulation model ECHAM4: Model description and simulation of present-day climate. Hampurg: MPI fur Meteorologie, 1996 , report no.218, 90 p.

The characteristics of the contemporary hydrochemical regime of Tyligulskiy Liman are presented on the basis of field observations (2002-2015) data analysis. Compared with the early 1980s, the concentration of ammonia nitrogen in the liman has significantly decreased, while that of mineral phosphorus has increased. The natural balance between mineral compounds of nitrogen and phosphorus in the liman’s waters has been significantly disturbed in favour of phosphorus. This is a typical feature of the contemporary hydrochemical regime of the liman. Currently, the primary production of organic matter in the liman is constrained by relatively low concentrations of mineral nitrogen. The low delivery capacity of the “liman-sea” artificial connecting canal and its mode of operation have resulted in the accumulation of mineral and organic phosphorus compounds in the liman over the years. Significant supply of nutrient compounds and organic matter has accumulated in the sediments of the liman. It is concluded that an increase in the influx of either marine or river water into the estuary could favour an increase of organic matter concentrations in ecosystem. However, with an increase of the connecting canal delivery capacity, nutrients will not only enter the liman and accumulate in it but also propagate from the liman into the sea as a result of differently directed water exchange under the influence of fluctuating water levels in the liman and the sea, caused by wind.

- Tuchkovenko Yu.S., Loboda .N.S. (Eds). Vodni resursy ta hidroekolohichnyy stan Tylihul’s’koho lymanu [Water resources and hydroecological conditions in Tyligulskyi Liman]. Odessa: OSENU, 2014. 277 .
- Tuchkovenko Y.S., Tuchkovenko О.A. Glavnye gidrojekologicheskie problemy Tiligul’skogo limana [Main hydroecological problems of the Tyligulskyi Liman lagoon]. Materialy 8 mizhnarodnoyi naukovo-tekhnichnoyi konferentsiyi “Problemy ekolohiyi ta enerhozberezhennya” [Proc. of the 8th Int. conf. “Problems in Ecology and Energy Efficiency]. Mykolaiv, 2013, pp. 247-251.
- Bielecka M., Robakiewicz M., Zalevwski M., Khokhlov V., Tuchkovenko Y., Lloret J., Lencart e Silva J., Dias J. M., Lillebø A.I., Chubarenko B., Staroszczyk R. Lagoons impact integrated scenarios. Coastal Lagoons in Europe: Integrated Water Resource Strategies. London: IWA Publishing. 2015, pp.155-166. (Eds: Lillebø, Stålnacke and Gooch).
- Polischuk V.S., Zambriborsch F.S., Timchenko V.M. et al. Limany Severnogo Prichernomor’ja [Limans of Northern Black Sea littoral]. Kiev: Naukova dumka, 1990. 204 p.
- Zaitsev Yu.P., Aleksandrov B.G., Minicheva G.G. (Eds.). Severo-zapadnaja chast’ Chernogo morja: biologija i jekologija [The North-Western part of the Black Sea: Biology and Ecology]. Kiev: Naukova Dumka, 2006, pp. 358–370.
- Alekin O.A., Lyahin Y.I. Himija okeana [Ocean Chemistry]. Leningrad: Gidrometeoizdat, 1984. 343 p.
- Tuchkovenko Yu.S., Kushnir D.V. Modelirovanie vetrovoj cirkuljacii vod v Tiligul’skom limane [Modelling wind circulation of waters in the Tyligulskyi Liman lagoon]. Vìsn. Odes. derž. ekol. Unìv – Bulletin of Odessa State Environmental University, 2013, no. 16, pp. 149 -158.
- Tuchkovenko Yu.S., Adobovskiy V.V., Tuchkovenko O.A. Harakteristika izmenchivosti termohalinnyh uslovij Tiligul’skogo limana v sovremennyj period [Characteristics of variability in thermohaline conditions of the Tyligulskyi Liman lagoon in the present period]. Vìsn. Odes. derž. ekol. unìv. – Bulletin of Odessa State Environmental University, 2014, no. 17, pp. 197-204.
- Hritsenko A.V., Vasenko O.H., Vernichenko H.A et al. Metodyka ekolohichnoyi otsinky yakosti poverkhnevykh vod za vidpovidnymy katehoriyamy. [Methods for ecological estimates of surface water quality by relevant classes]. Kharkiv: USRIEP, 2012. 37 p.
- Vollenveider R.A., Giovanardi F., Montanari G., Rinaldi A. Characterization of the trophic conditions of marine coastal waters with special reference to the NW Adriatic Sea: proposal for a trophic scale, turbiditi and generalized water quality index. Environmetrics, 1998, no. 9, pp. 329-357.
- Tuchkovenko Yu.S. (scient. chief). Kompleksne upravlinnya vodnymy resursamy Tylihul’s’koho lymanu ta yoho hidroekolohichnym stanom v umovakh antropohennoho vplyvu i klimatychnykh zmin. [Integrated water resources in Tyligulskiy lagoon in the context of anthropogenic influence and climate change]. Final Report, No. 0113U000696, Odessa, OSENU, 2014. 375 p.

Introduction. The overview is composed on the base of materials that was received as result of regular stationary hydrometeorological and expedition oceanographic observations at sea coastal zone executed in 2013 and 2014.

Purpose. Hydrometeorological situation in the sea coastal zone has tendency for significant changes due to the climate processes. The aim of this work is to estimate the changes at the last two years. Methods. In the article used results of observations of hydrometeorological characteristics received by standard methods during observations at the sea coastal zone.

Results. At 2013 span of sea level variability was 80 cm. Year average sea level was 487 cm, that isn’t differ from average value for 2003 – 2012 (486 cm). Year average sea level at 2014 was 484 cm. Range of daily average value variation was 67 cm. Water warming-up at May-June also water cooling at September-October was occurred more intensive at 2013 than 2014. Average values of water temperature at 2013 and the average value for 2003-2012 was almost equally – accordingly 12,4ºC and 12,5ºC.At summer season of 2014 water warming-up in the sea coastal zone was so intensive, that average water temperature exceeded similar value at 2013 for 4,5ºC and average long-term value for 2,5ºC.Frequency of storm waving at 2014 was the most for the last 15 years. If year average storm waving frequency at 2003 – 2012 was10 %, at 2013 it was 9,6 %, at 2014 it was 15,8 %.

Conclusion. Climatic conditions and characteristics of the main elements of hydrometeorological regime in the sea coastal zone at 2013 for some exeptions was close to the medium level for the last ten years. At 2014 was the deep warming-up of water, increasing of wind activity, large amount of rainfall loss for the short term that caused significant floods.

- Gidrometeorologicheskie usloviya morey Ukrainy. Tom 2: Chernoe more. MChS i NAN Ukrainy, Morskoe otdelenie Ukrainskogo nauchno-issledovatel’skogo gidrometeorologicheskogo instituta [Gidrometeorological terms of seas of Ukraine. Tom 2: The Black Sea. Ministry of Emergencies and National Academy of Science of Ukraine, Marine Department of the Ukrainian Research Gidrometeorological Institute]. Sevastopol, 2012. 421 p.
- www.pogodaiklimat.ru
- www.pogoda.by/gidro/
- Dotcenko S., Adobovsky V., Nikanorov V. Dinamika vod v pribrezhnoy zone Odesskogo regiona severo-zapadnoy chasti Chernogo morya [Water dynamics in the coastal zone of the Odesa region of north-west of the Black Sea].- Ukr. gìdrometeorol. ž. – Ukranian hydrometeorological journal, 2013, №13. – P. 245-249.

We propose a new serial, single quantum-mechanical approach to the problem of quasi-stationary states, including both the Stark effect and the scattering problem at all. The approach allows the calculation of complex energy resonances and is particularly useful in the study of the spectral region near the boundary of the new continuum. We have developed a method of describing quasi-stationary states, in principle, devoid of all the shortcomings of the existing quantum-mechanical methods for solving the problem based on the Stark and operator formalism of perturbation theory. Its essence – the inclusion of a well-known in the theory of scattering “distorted waves” approach within the formal precision of perturbation theory. The proposed new method can be used to explore the resonances of any nature. Currently it is used by us to the study of resonances of the compound – nucleus formed by the collision of heavy ions. Unlike other approaches, it allows to calculate not only the function of the scattering states, but also to determine the function of the state with complex energy plus a full complement of functions orthogonal scattering.

- Landau L.D., Difshits E.M. Quantum mechanics. Moscow: Nauka, 1977. 790 p. (In Russian).
- Glushkov A.V. An atom in an electromagnetic field: Numerical mo-Delhi. Kiev: TNT, 2005. 450 p. (In Russian).
- Lisitsa V.S. New in Stark and Zeeman effects in the hydrogen atom. UFN. 1977. T.153, no. 3. pp. 379-422. (In Russian).
- Harmin D.A. Theory of the Non hydrogenic Stark Effect. Phys.Rev.Lett., 1982, vol.49, no. 2. pp. 128-131.
- Kazansky A.I. Diabatic quasi-stationary states and unstable closed trajectories. JETP. 1989, vol.95, №4. pp. 1162-1168. (In Russian).
- Yamabe T., Tashiibana A., Silverstone H.J. Theory of ionization of hydrogen atom by external electric field. Phys.Rev.A, 1977, vol.16, no. 3, pp. 877-890.
- Kazansky A.I., Ostrovsky V.N., Tel’nov D. Above-threshold resonance series associated with unstable classical trajectories in the problem of the hydrogen atom in an electric field. Proc. of the Atomic Spectroscopy Seminar. Rostov Velikiy, 1990. p. 29. (In Russian).
- Maquet A., Chu S-I., Reinhardt V.P. Stark ionization in dc and ac electric field: an L2 complex coordinate approach. Phys.Rev.A., 1983, vol.26, no. 6, pp. 2246-2261.
- Telnov D.A., DC Stark effect in hydrogen atom via sturmian expansion. J.Phys. B: At. Mol. Opt. Phys, 1989, vol.22, no. 4.- pp. L399-404.
- Moore V.D., Popov V.S., Sergeev A.V., Shcheblykin A.V. Stark resonances and scaling Rydberg atoms. JETP, 1989, vol.96, no. 1, pp. 91-106. (In Russian).
- Hehenberger M., McIntosh H.V., Brändas E. Weyl’s theory applied to the Stark effect in the hydrogen atom. Phys. Rev. A., 1974, vol.10, pp. 1494–1506.
- Popov V.S., Mur V.D., Sergeev A.V. 1/n expansion for the Stark effect in Rydberg atoms. Phys.Lett.A., 1990, vol.149, no. 9, pp. 425-433.
- Zimmerman M., Littman M., Kash M., Kleppner D. Stark structure of Rydberg states of alkali-metal atoms. Phys.Rev.A., 1979, vol.20, no. 6, pp. 2251-2275.
- Damburg R.J., Kolosov V.V. Hydrogen atom in uniform electric field. J. Phys. B.: Atom.,Mol.,Opt. Phys, 1979, vol.12, no. 22, pp. 2637-2644.
- Damburg R.Ya., Kolosov V.V. Asymptotic approach to the problem of the Stark. Riga: Zilitis, 1987.-180 p. (In Russian).
- Glushkov A.V., Ivanov L.N. DC Strong-Field Stark-Effect: consistent quantum-mechanical approach. J.Phys. B:At.Mol.Opt. Phys., 1993, vol.26, no. 16, pp. L379-396.
- Glushkov A.V. Operator Perturbation Theory for Atomic Systems in a Strong DC Electric Field. Advances in Quantum Methods and Applications in Chemistry, Physics, and Biology. Series: Progress in Theoretical Physics and Chemistry. Berlin: Springer, 2013, vol.27, pp. 161-188.
- Glushkov A.V., Ambrosov S.V., Ignatenko A.V., Korchevsky D.A. DC Strong Field Stark Effect for Non-hydrogenic Atoms: Consistent Quantum Mechanical Approach. Int.Journ.Quant.Chem, 2004, vol.99, no. 6, pp. 936-939.
- Glushkov A.V., Lepikh Ya.I., Khetselius O.Yu., Fedchuk A.P., Ambrosov S.V , Ignatenko A.V. Wannier-mott excitons and atoms in a DC elecric field: photoionization, Stark effect, resonances in the ionization continuum. Sensor Electr. and Microsyst. Techn., 2008, no. 4, pp. 5-11.
- Glushkov A.V., The atoms and diatomic molecules in external efficient fields of N-component materials. Computer simulation of elementary atomic processes. Kiev, 1992, pp.121-124. (In Russian).
- Glushkov A.V., Khetselius O.Yu., Svinarenko A.A., Lovett L. Energy Approach to Nuclei and Atoms in a Strong Laser Field: Stark Effect and Multi-photon Resonances. Quantum Theory: Reconsideration of Foundations (AIP), 2010, vol.1232, pp. 228-234.

We present the elements for a new, precise theoretical approach to the description of hyperfine and weak interactions in heavy Fermi systems, which is based on the new combined-formalism of relativistic nuclear and QED perturbation theory with precise taking into account the radiation and correlation effects. There шы e presented the estimates of the nuclear spin dependent contributions into the parity non-conservation amplitude of the transitions, in particular, due to an anapole moment of the nucleus. The obtained results are compared with the data of nuclear shell and other models. The new nuclear QED TV made payment of contributions at PNC amplitude EPNC, independent of the nuclear spin, particularly related to the interaction through the exchange of Z bosons, due to nuclear axial vector (AnVe) shock, the combined effect of the hyperfine interaction and spin –independent Z sd exchange interaction caused by the vector (VnAe) currents of nucleons, and finally, the main source – anapole moment of the nucleus (~ ka). A comparison with alternative data obtained on the basis of MBPT-DF theory (Johnson – Safronova), in the framework of the nuclear shell model Flambaum-Murray and Haxton et al, as well as evaluating DF Bouchiat-Piketty.

- Weinberg S. Dreams of a Final Theory. N.-Y.: Pantheon Books, 1992. 270 p.
- ’t Hooft G. A confrontation with infinity (Quantum structure of electroweak interaction). Rev.Mod.Phys, 2000, vol. 72, no. 2, pp. 333-340;
- Veltman M.J.G. From weak interactions to gravitation. Rev.Mod.Phys, 2000, vol. 72, noю 2, pp. 341-349.
- Safronova M.S., Pal R., Jiang D., Kozlov M., Johnson W.R., Safronova U.I. New directions in atomic PNC. Nucl.Phys.A., 2009, vol. 827, pp. 411-413.
- Grojean C. New approaches to electroweak symmetry breaking. Physics-Uspekhi, 2007, vol. 50, pp. 3-42. (Review of Particle Properties, Particle Physics Booklet (AIP).-July, 1996.
- Cacciapaglia G. Beyond the Standard Model Working Group: Summary Report. Les Houches “Physics at TeV Colliders 2005”, 2005, pp. 21-64. (Eds: Allanach B.C., Grojean C., Skands P.).
- Yang F. Fundamentals of nuclear models. Singapore: World Scientific, 2010. 740 p. ( Ed.: Hamilton J.H.).
- Blin-Stoyl P. Fundamental interactions and atomic nucleus. N.-Y.-Press, 1976.
- Marciano W. Electromagnetic Probes of Fundamental Physics. Singapore: World Scient, 2003. 560 p.
- Povh B et al. Particles and Nuclei: An Introduction to Physical Concepts. N.-Y.: Springer, 1995. 380 p. (Ed: White S.).
- Grant I. Relativistic Quantum Theory of Atoms and Molecules. -Oxford, 2007. 650 p.
- Dyall K.G., Faegri K.Jr. Introduction to relativistic quantum theory. Oxford, 2007. 590 p.
- Glushkov A.V., Khetselius O.Yu., Lovett L. Electron-β-Nuclear Spectroscopy of Atoms and Molecules and Chemical Environment Effect on the β-Decay parameters. Advances in the Theory of Atomic and Molecular Systems. Berlin: Springer, 2009, vol. 20, pp. 125-152.
- Glushkov A.V., Khetselius O.Yu., Malinovskaya S.V. Optics and spectroscopy of cooperative laser-electron nuclear processes in atomic and molecular systems – New trend in quantum optics. Europ. Phys. Journ, 2008, vol. 160, pp. 195-204.
- Khriplovich I.B. Parity Nonconservation in Atomic Phenomena.- Philadelphia: Gordon and Breach, 1991. 250 p.
- Zeldovich Ya.B. On the anapole moment of a nucleus. JETP, 1957, vol.33, pp.1531-1535. (In Russian).
- Wood C.S., Bennett S.C., Cho D., Masterson B.P., Roberts J.L., Tanner C.E., Wieman C.E. Measurement of the parity non-conserving amplitude in cesium and anapole moment of a nucleus. Science, 1997, vol. 275, pp. 1759-1767.
- Johnson W.R., Safronova M.S., Safronova U.I. Combined effect of coherent Z exchange and hyperfine interaction in parity-nonconserving interaction. Phys.Rev.A, 2003, vol. 67, pp. 062106.
- Khetselius O.Yu., Lopatkin Yu.M., Dubrovskaya Yu.V., Svinarenko A.A. Sensing hyperfine-structure, electroweak interaction and parity non-conservation effect in heavy atoms and nuclei: New nuclear-QED approach. Sensor Electr. and Microsyst. Techn., 2010, no. 2, pp. 17-22.
- Glushkov A.V., Khetselius O.Yu., Gurnitskaya E.P., Loboda A.V., Florko T.A., Sukharev D.E., Lovett L. Gauge-invariant QED perturbation theory approach to calculating nuclear electric quadrupole moments, hyperfine structure constants for heavy atoms and ions. Frontiers in Quantum Systems in Chemistry and Physics. Berlin: Springer, 2008, vol.18, pp .505-522.
- Khetselius O.Yu. Relativistic Perturbation Theory Calculation of the Hyperfine Structure Parameters for Some Heavy-Element Isotopes. Int. Journ. of Quantum Chemistry, 2009, vol. 109, no. 14, pp. 3330-3335.

General issues of electronic conductivity and the causes for the current flow, role of electrochemical potentials, Fermi functions, and Fermi window for conduction are discussed, as well as there given detailed description of the Landauer elastic resistor model, different transport regimes from ballistic to diffusion and in between, conductivity modes, and transmission coefficient in the frame of the «bottom – up» approach of modern nanoelectronics. Generalized model of electron transport in the linear response regime developed by R. Landauer, S. Datta, and M. Lundstrom with application to the resistors of any dimension, any size and arbitrary dispersion working in ballistic, quasi-ballistic or diffusion regime is summerized.

In summary, the Landauer equation for the conductivity describes the electron transport in the conductor from the very general positions. The conductivity is proportional to the fundamental constants q and h, which determine the quantum of conductance, associated with contacts. The conductivity depends on the number of modes of conductance and transmission coefficient, representing the probability that an electron with energy E injected by one contact to reach another contact. Conductivity we finally find by integrating the contributions from all modes of conduction. The equations valid for 1D, 2D and 3D conductors for ballistic nanoreactors as well as for massive conductors.

- Mitin V.V, Kochelap V.A, Stroscio M.A, Introduction to Nanoelectronics: Science, Nanotechnology, Engineering, and Applications. Cambridge: Cambridge University Press, 2012.
- Hoefflinger B. (Ed.), Chips 2020: A Guide to the Future of Nanoelectronics. Berlin: Springer-Verlag, 2012.
- Martines Dzh.M., Marin-Palma R.Dzh., Agullo-Rueda F. Nanotechnologii dlya mikro- i optoeletrtroniki [Nanotechnology for mi-cro- and optoelectronics]. Moscow: Tekhnosfera, 2007.
- Dragunov V.P., Neizvestnyy I.G., Gridchin V.A. Osnovy nano-elektroniki [Fundamentals of nanoelectronics]. Moscow: Logos, 2006.
- Drude P. Zur Elektronentheorie der metalle Ann. Physik., 1900, vol. 306, no.3: pp.566, doi:10.1002/ andp.19003060312.
- Drude P. Zur Elektronentheorie der Metalle”:ІІ. Teill. Galvanomagnetische und thermomagnetische Effecte. Ann. Physik., 1900, vol. 308, no.11, pp.369 , doi: 10.1002/andp.19003081102.
- Ashkroft N., Mermin N. Fizika tverdogo tela [Solid state physics]. Moscow: Mir,1979.
- Smit R.H.M., Noat Y., Untiedt C., Lang N.D., van Hemert M.C., van Ruitenbeek J.M. Nature, 2002, vol.419, no. 3, pp.906.
- Fuechsle M., Miwa J.A., Mahapatra S., Ryu H., Lee S., Warschkow O., Hollenberg L.C.L., Klimeck G., Simmons M.Y., Nature Nanotech., 2012, vol. 7, pp. 242.
- Lundstrom M., Datta S. Electronics from the Bottom Up: A New Approach to Nanoelectronic Devices and Materials. Available at: http://www.nanohub.org/topics/ElectronicsFromThe BottomUp.
- Lundstrom M. Near-Equilibrium Transport: Fundamentals and Applications. Available at: http://www.nanohub.org/resources/11763.
- Datta S. Lessons from Nanoelectronics: A New Perspective on Transport. Hackensack, New Jersey: World Scientific Publishing-Compan 2012. Available at: http://www.nanohub.org/courses/FoN1.
- Lundstrom M., Jeong C. Near-Equilibrium Transport: Fundamentals and Applications. Hackensack, New Jersey: World Scientific Publishing Company, 2013.
- Landauer R. Spatial variation of currents and fields due to localized scatterers in metallic conduction. IBM J. Res. Dev., 1957, vol. 1, no.3: pp. 223-231.
- Landauer R. Electrical resistance of disordered one dimensional lattices. Philos. Mag.,1970, vol. 21, pp. 863-867.
- Landauer R. Electrical resistance of disordered one dimensional lattices. J.Math. Phys.,1996, vol. 37, no. 10, pp. 5259.
- Datta S. Electronic Transport in Mesoscopic Systems. Cambridge: Cambridge University Press, 2001.
- Datta S. Quantum Transport: Atom to Transistor. Cambridge: Cambridge University Press, 2005.
- Lundstrom M. Nanoscales Transistors. Available at: http://www.nanohub.org/courses/NT.
- Pierret R.F. Semiconductor Device Fundamentals. Reading, MA: Addison–Wesley, 1996.
- Kruglyak Yu,A., Kruglyak N.E. Vìsn. Odes. derž. ekol. unìv. – Bulletin of Odessa state environmental university, 2012, vol. 13, pp. 207- 218. (In Russian).
- Jeong C.,.Kim R, Luisier M., Datta S., Lundstrom M. Appl.Phys J., 2010, no. 107, pp. 023707.
- Howard C. Berg. Random walks in biology. Princeton: Princeton University Press, 1993.
- Kruglyak Yu,A., Kruglyak N.E. Uroki nanoelektroniki 2. Model uprugogo rezistora i novaya formulirovka zakona Oma v kontseptsii “snizu – vverkh” Fizich.obrazov. v vuzakh – Physics in Higher Education, 2013, vol. 19, no 2 – 167p. (In Russian)..

The theoretical description of the local structure of granular materials has been performed by means of Voronoi method. The detailed investigation of structure transformations has been carried on with help of Voronoi tessellation supplemented by direct modeling of the relevant distribution function in terms of classical moments theory. Analytical expression for distribution function of Voronoi figures has been constructed with the help of Nevanlinna’s formula from theory of orthogonal polynomials .Proposed approach permit to avoid the problem of week argumentation of applicability the statistical mechanics methods for description of the structure and physical properties of granular materials. We show that generated ordering in local structure are escorted by appearing of particular symmetries in Voronoi diagrams. We perform a numerical simulations of structural configurations in 2D system of hard discs. Proposed algorithm allow us to prove theoretical predictions about existence of correlations between configurational ordering and symmetry breaking in Voronoy tessellations. We study these effects in the vicinity of jammed states. Obtained results shows that criticality in structurisation (formation of jammed states)connected with particular behavior of the first two moments of Voronoi figures distribution function. We show nonhomogeneous character of jammed states in which kinematic freedom degrees become frozen. Namely, coexisting ordered domains which has a different symmetries in grain configurations are observed. Therefore given analysis fulfill the basis of research in the area of granular physics which are mostly based on the concepts of probabilistic stereology and do not use methods from statistical mechanics which in the case of granular materials are not enough argumeneted.

- Jaeger H.M., Nagel S.R., Behringer R.P. Rev. Mod. Phys., 1996, no. 68, pp. 1259.
- Duran J. Sands, Powders and Grains. New York: Springer, 2000.
- Kadanoff L. Rev.Mod.Phys., 1999, no. 71, pp. 435.
- De Gennes P.G., Rev. Mod. Phys., 1999, no. 71, pp. 374.
- Bideau D., Gervois A., Oger L., Troadec J.P. J.Physique, 1986, no. 47, pp. 1697.
- Lumay J., Vandewalle N. Phys. Rev. Lett., 2005, no. 95, pp. 028002.
- Voronoi G., Reine Angew J. Math., 1908, no. 134, pp. 198.
- Quickenden T.I., Tan G.K. Journal of Collloid and Interface Science , 1974, no. 48, pp. 382.
- Aste T., Di Matteo T. Phys. Rev., 2008, no. E77, pp. 021309.
- Edwards S.F. Physica, 2005, no. A353 , pp. 114.
- Achiezer N.I., Classical problem of moments. Мoscow: Nauka, 1961. 600 p.
- Gerasymov O.I. Ukr.Journ.Phys., 2010, vol.55, no. 5, pp. 560.

On the basis of experimental studies and theoretical curves selected, we developed a method that allows to determine the basic hydrodynamic characteristics of gas-liquid systems produced by forcing air through a porous glass filter elements with an air flow of 1.0·10-3 – 1.0·10-1 sm3/(sm2 s) and a different height of the water layer above the bubble generator. Analysis of variance system prepared with distilled water from the purified surfactant (surfactant), found that close to normal size distribution of the bubbles have a fairly wide range of equivalent diameter of 608 microns. Designed collective speed and flow regimes of air bubbles, pop in the transition region changes Reynolds numbers (1 <Re <100). The proposed method of estimating the hydrodynamic characteristics of gas-liquid systems will be useful in the study of physical and chemical laws of flotation extraction of particles using a surfactant, and the results are used to determine the hydrodynamic field bubble, the parameters of which often depends on the efficiency of the flotation nonchemical water purification from suspended particles.

- Kul’skij L.A. Osnovy himii i tehnologii vody. [Fundamentals of chemistry and water technology]. Kiev: Nauk. dumka, 1991. 568 p.
- Derjagin B.V., Duhin S.S., Ruljov N.N. Mikroflotacija: Vodoochistka, obogashhenie [Microflotation: Water purification, enrichment]. Moscow: Himija, 1986, 112 p.
- Ozerskaja V.V., Rybalkina I.S., Filipenko N.L., Medvedeva V.A. Issledovanie processov ochistki hromsoderzhashhih gal’vanicheskih stokov kombinaciej reagentnogo i flotacionnogo metodov [Study treatment processes chromium electroplating wastewater combination of reagent flotation methods]. Vest. Dons. gos. univ. – Bulletin Don State Technical University, 2011, Vol 11, no8(59), issue 2 , pp. 1385,1390.
- Ageev M.A., Sviridov V.V, Medjanik N.L. Issledovanie vzaimodejstvij chastichek ti-pografskoj kraski s vozduhom pri flotacionnom oblagorazhivanii makulatury [Investigation of Interactions ink particles with air in the flitation deinking]. IVUZ «Lesnoj zhurnal» – IVUZ Timber journal, 2005, no 4, pp. 125-135.
- Sazonova V.F., Bel’dij M.G., Kozhemjak M.A., Perlova O.V. Jeksperimental’noe i teoreticheskoe issledovanie koncentrirovanija ionov polivalentnyh metallov [Experimental and theoretical study of the concentration of polyvalent metal ions paper]. Vest. Odess. nach. univ.. – Bulletin of Odessa National University, 2007, vol 8, issue 3, pp. 41-66.
- Karjakin Ju.V. Chistye himicheskie reaktivy. Rukovodstvo k laboratornomu prigotovleniju neorganicheskih preparatov. [Clear chemicals. Guide to the laboratory preparation of inorganic products]. Leningrad: ONTI, 1936. 617 p.
- Spargo P.E., Pinfold T.A. Separ. Sci. , 1970 , vol 5 , pp. 619-623.
- Bashkirov M.M. K voprosu o fiziko-himicheskih uslovijah generacii puzyrej [On the issue of physical and chemical conditions of the generation of the bubble]. ZhPH – Journal of applied chemistry, 1975, no 3, p. 669-672.
- Volkov A.I., Zharskij I.M. Bol’shoj himicheskij spravochnik. [Large chemical reference]. Minsk: Sovremennaja shkola, 2005. 608 p.
- Tihomirov V.K. Peny. Teorija i praktika ih poluchenija i razrushenija. [Foam. Theory and practice of their production and destruction]. Moscow: Himija, 1983, 264 p.
- Okazaki S. Bull. Chem. Soc. Jap., 1964, vol 37, no 2 , pp. 144-150.
- Ruljov N.N. Kollektivnaja skorost’ vsplyvanija puzyr’kov [Collective rate of rising bubbles]. Koll. zhurn. – Colloid Journal, 1977, vol 39, no 1 , p. 80-85.

The theory of electrical conduction is developed in the framework of the “bottom – up” approach without invoking the concept of an external electric field generated by a potential difference applied to the conductor. Within the concept of «bottom – up» approach of modern nanoelectronics the diffusion-drift model of a current on the basis of the Boltzmann transport equation is described. There are also discussed the role of the external electric field beyond the linear response regime, field-effect transistor and saturation current, the role of conductor charging, the point and extended models of a conductor, the role of contacts, the model of p-n junctions, the generation of a current in a conductor with asymmetric contacts.

In summary, we conclude, that when a band structure is given, number of modes can be evaluated and, if a model for the mean-free-pass for backscattering can be chosen, then the near-equilibrium transport coefficients can be evaluated. Next, the new generalized Ohm’s law was formulated and used which provides a quite different view of resistivity in terms of the number of modes per unit area and the mean-free-path. Finally, the transport model given is equally well applied either to nanoresistors or as well to micro- and macroconductors made of any kind of materials.

- Kruglyak Yu.A., Kruglyak N.E., Strikha M.V. Uroky nanoelektroniky. vynyknennya strumu, formulyuvannya zakonu Oma i mody providnosti v kontseptsiyi «znyzu – vhoru» [Lessons of Nanoelectronics: Current generation, Ohm’s Law Formulation and Conduction modes in «Bottom – Up» Ap-proach]. Sensor Electronics Microsys. Tech., 2012, vol.9, no.4, pp. 5-30.
- Kruglyak Yu.A., Kruglyak N.E., Strikha M.V. Uroky nanoelektroniky. Spintronika v kontseptsiyi «znyzu – vhoru» [Lessons of Nanoelectronics: Spintronics in «Bottom – Up» Approach]. Sensor Electronics Microsys. Tech., 2013, vol.10, no.2. pp. 5-37.
- Datta Supriyo. Lessons from Nanoelectronics: A New Perspective on Transport. – Hackensack, New Jersey: World Scientific Publishing Company, 2012, pp. 473; www.nanohub.org/courses/FoN1.
- Einstein A. Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen. Ann. Physikб, 1905, vol.322, no.8, pp. 549-560.
- Lindsay Stuart. Introduction to Nanoscience. – Oxford, Eng-land: Oxford University Press, 2009, 472 p.
- Ashcroft N.W., Mermin N.D. Fyzyka tverdoho tela, toma 1 y 2 [Solid State Physics]. Moscow, Mir, 1979.
- Kruglyak Yu.A., Kruglyak N.E., Strikha M.V. Uroky nanoelektroniky. Efekt Khola i vymiryuvannya elektrokhimichnykh potentsialiv v kontseptsiyi «znyzu – vhoru» [Lessons of Nanoelectronics: The Hall Effect and Measurement of Electrochemical Potentials by «Bottom – Up» Approach]. Sensor Electronics Microsys. Tech., 2014, vol.11, no.1, pp. 5-27.
- Sears F.W., Salinger G.L. Thermodynamics, Kinetic Theory, and Statistical Thermodynamics. Boston: Addison-Wesley, 1975.
- Kruglyak Yu.A., Hrafen v transportnoy modely Landauэra – Dattы – Lundstroma [Graphene in the Landauer – Datta – Lundstrom Transport Model]. ScienceRise, 2015, Т.2: no.2(7), pp. 93-106.
- Kruglyak Yu.A., Kruglyak N.E. Metodicheskie aspekty rascheta zonnoy struktury grafena s uchetom σ–ostova. Teoreticheskie osnovy [Methodical Aspects in Computation of Graphene Band Structure with an Account of ?-Core. Theoretical Basis]. Visnyk Odes’koho derzhavnoho ekolohichnoho universytetu – Vìsn. Odes. derž. ekol. unìv., 2012, vol.13, pp. 207-218.
- Rabiu M., Mensah S.Y., Abukari S.S. General Scattering Mechanism and Transport in Graphene. Graphene, 2013, vol.2, no.1, pp. 49-54.
- Bode N., Mariani E., von Oppen F. Transport properties of graphene functionalized with molecular switches. J. Phys.: Condens. Matter, 2012, vol.24. pp. 394017/1-10.
- Dong H.M., Xu W., Peeters F.M. High-field transport properties of graphene. J. Appl. Phys, 2011, vol.110, pp. 063704/1-6.
- Chauhan J., Guo Jing. Inelastic Phonon Scattering in Graphene FETs. IEEE Trans. Electron Dev, 2011,vol.58, no.11, pp. 3997-4003.
- Peres N.M.R. The transport properties of graphene. An introduction. Rev. Mod. Phys., 2010, vol.82, no.3, pp. 2673-2700.
- Barreiro A., Lazzeri M., Moser J., Mauri F., Bachtold A. Transport properties of graphene in the high-current limit. Phys. Rev. Lett., 2009, vol.103, pp. 076601/1- 4.
- Ludwig Boltzmann. Izbrannye trudy [Selected Works]. Moscow: Mir, 1984, 590 p.
- Salahuddin S., Lundstrom M., Datta S. Transport Effects on Signal Propagation in Quantum Wires. IEEE Trans. Electron Dev., 2005, vol.52, no.8, pp. 1734-1742.
- Kruglyak Yu.A., Kruglyak N.E., Strikha M.V. Uroky nanoelektroniky: Termoelektrychni yavyshcha v kontseptsiyi «znyzu – vhoru» [Lessons of Nanoelectronics: Thermoelectric Phenomena in «Bottom – Up» Approach]. Sensor Electronics Microsys. Tech, 2013, vol.10, no.1, pp. 6-21.
- Rahman A., Guo Jing, Datta S., Lundstrom M. Theory of Ballistic Nanotransistors. IEEE Trans. Electron Dev., 2003, vol.50, no.9, pp. 1853-1864.
- Pierret Robert F. Semiconductor Device Fundamentals. – Reading. MA: Addison–Wesley, 1996, 791 p.

It is presented an effective relativistic approach to the description of the energy and spectral characteristics of the pion atoms, based on the Klein-Gordon-Fock equation, model of optimized optical strong pion-nucleon interaction potential and method of the relativistic many-particle perturbation theory with the “0” Hamiltonian of the Dirac- Breit -Kohn-Sham approximation ( approximation to the formal precision QED perturbation theory) and correct accounting for the relativistic, radiation QED effects, the finite size nuclear effects plus the nuclear quadrupole deformation correction and electron shielding effect (electromagnetic unit). The bare interaction potential in the system is represented as the sum of the optical strong π^{–}– N interaction potential, relativistic Coulomb potential describing the interaction of the pion with the nucleus as amended by the Breit-Rosenthal-Crawford-Schawlow correction on the final size of a nucleus, generalized radiation potential, taking into account the main QED effect of vacuum polarization, etc., and the self-consistent potential of the surviving electron shells. For a number of heavy π^{–}– А, including, ^{181 }Ta, ^{197}Au,^{203}Tl, ^{208}Pb, ^{209}Bi, etc there are presented the values of the shifts and widths for the 4f, 3d levels due to the strong π^{–}– N interaction, including the corrections, ‘directly related to the effect of the nuclear quadrupole deformation. For a number of π^{–}– А the data on the shifts and widths of the energy levels in a spectrum are presented for the first time.

- Yang F., Hamilton J.H. (Eds). Fundamentals of nuclear models. Singapore: World Scientific, 2010. 740 p.
- Marciano W., White S. (Eds). Electromagnetic Probes of Fundamental Physics. Singapore: World Scient, 2003. 560 p.
- Ericson T., Ericson T., Weise W. Pions and Nuclei. Oxford: Clarendon, 1988. 320 p.
- Deloff A. Fundamentals in Hadronic Atom Theory. Singapore: World Sci., 2003. 352 p.
- Scherer S. Introduction to Chiral Perturbation Theory. Advances in Nuclear Physics. Springer (Berlin), 2003, vol.27, pp. 5-50. (Eds: Negele J.W., Vogt E.W.).
- Anagnostopoulos D., Biri S., Boisbourdain V., Demeter M., Borchert G. et al. -PSI Low-energy X-ray standards from pionic atoms. Nucl. Inst. Methods B., 2003, vol.205, pp. 9-18.
- Itahashi K., Berg G., Fujioka H., Geissel H., Hayano R. et al. First pionic atom spectroscopy at RIBF. EPJ Web of Conf., 2012, vol.37, pp. 01013-01036.
- Glushkov A.V. Relativistic Quantum Theory. Quantum, mechanics of Atomic Systems. Odessa: Astroprint, 2008. 900 p.
- Khetselius O.Yu. Hyperfine structure of atomic spectra. Odessa: Astroprint, 2008. 210 p.
- Khetselius O.Yu. Relativistic perturbation theory calculation of the hyperfine structure parameters for some heavy-element isotopes. Int. Journ. of Quantum Chemistry, 2009, vol.109, no. 14, pp. 3330-3335.
- Glushkov A.V, Khetselius O.Yu., Loboda A.V, Shakhman A.N., Svinarenko A.A., Florko T.A. Frontiers in Quantum Methods and Applications in Chemistry and Physics. Springer, 2014, vol.33, pp. 71-94.
- Glushkov A.V., Khetselius O.Yu., Svinarenko A.A. Relativistic theory of cooperative muon-gamma-nuclear processes: Negative muon capture and metastable nucleus discharge. Advances in the Theory of Quantum Systems in Chemistry and Physics. Springer, 2012, vol.22, pp. 51-70.
- Shakhman A.N. Relativistic theory of spectra of heavy pionic atoms with account of strong pion-nuclear interaction effects: new data for 175Lu, 205Tl, 208Pb. Photoelectronics, 2014, no. 23, pp. 71-75.
- Serga I.N., Dubrovskaya Yu.V., Shakhman A.N., Kvasikova A.S., Sukharev D.E. Spectroscopy of hadronic atoms: Energy shifts. Journal of Physics: C Ser. (IOP, London, UK), 2012, vol.397, pp. 012013-012018.
- Olaniyi B., Shor A, Cheng S., Dugan G., Wu C.S. Electric quadrupole moments and strong interaction effects in piomic atoms of 165Ho, 175Lu, 176Lu,179Hf, 181Ta. Nucl.Phys.A., 1982, vol. 403, pp. 572-588.
- Erikcson M., Ericson T., Krell M. Peculiarities of the pion-nuclear interaction. Phys.Rev.Lett, 1969, vol.22, pp. 1189-1193.
- Ericson M., Ericson T. Optical properties of low-energy pions in nuclei. Ann. Phys., 1966, vol.36, pp. 323-362.
- Tauscher L. Analysis of pionic atoms and the π-nucleus optical potential. Proc.of the International Sem. “π-Meson Nucleus Interaction”. CNRS-Strasbourg (France), 1971, pp.45-68.
- Batty C.J., Biagi S.F., Friedman E., Hoath S.D. Shifts and widths of 2p levels in pionic atoms. Phys. Rev. Lett, 1978, vol.40, pp. 931-935.
- Batty C.J., Friedman E., Gal A. Saturation effects in pionic atoms and the π-nucleus optical potential. Nucl. Phys.A., 1983, vol.402, pp. 411-428.
- Seki R., Masutani К., Jazaki К. Unified analysis of pionic atoms and low-energy pion-nuclear scattering. Hybrid analysis. Phys. Rev.C., 1983, vol.27,. pp. 1817-2832.
- Rowe G., Salamon M., Landau R.H. Energy-dependent phase shift analysis of pion-nucleon scattering below 400 MeV. Phys. Rev. C., 1978, vol.18, pp. 584-596.
- Backenstoss G. Pionic atoms. Ann.Rev.Nucl.Sci., 1970, vol.20, pp. 467-510.
- Indelicato P., Trassinelli M. From heavy ions to exotic atoms. arXiv:physics, 2005, vol.1, pp. 0510126-0510141.
- Santos J., Parente F., Boucard S., Indelicato P. Desclaux J.X-ray energies of circular transitions and electron scattering in kaonic at-oms. Phys.Rev.A., 2005, vol.71, pp. 032501.
- Mitroy J., Ivallov I.A. Quantum defect theory for the study of hadronic atoms. J. Phys. G. Nucl. Part. Phys, 2001, vol.27, pp. 1421–1433.
- Anagnostopoulos D., Gotta D., Indelicato P., Simons L.M. Low-energy X-ray standards from hydrogenlike pionic atoms. arXiv:physics, 2003, vol.1, pp. 0312090-0312097.
- Nagels M.M., de Swart J., Nielsen H. et al. Compilation of Coupling Constants and Low-Energy Parameters. 1976 Edition. Nucl.Phys.B., 1976, vol.109, pp. 1-90.
- Lauss B. Fundamental measurements with muons -View from PSI. Nucl.Phys.A., 2009, vol.827, pp. 401-407. PSI experiment R-98.01, http://pihydro gen.psi.ch
- CERN DIRAC Collaboration, “Search for long-lived states of π
^{+}π^{– }and π^{–}K atoms”, CERN-SPSLC-2011-001 SPSLC-P-284-ADD. 2011. 22 p. - CERN DIRAC Collaboration, „Status report of DIRAC for the SPSC meeting of March 2011”, CERN-SPSC-2011-013 ; SPSC-SR-081. 2011. 32 p.
- Itoh1 S., Berg G., Geissel H., Hayano R., Inabe Itahashi K. Precision spectroscopy of pionic atom at RIKEN-RIBF. Proc. of the XIV International Conference on Hadron Spectroscopy. Munich (Germany), 2011, p. 4.
- Ishiwatari T. Silicon drift detectors for the kaonic atom X-ray measurements in the SIDDHARTA experiment on behalf of the SIDDHARTA Collaboration. Nucl. Instr. and Methods in Phys. A: Accelerators, Spectrometers, Detectors, 2007, vol.581, pp. 326-329.

Non-equilibrium Green’s functions method is applied to model transport problems for 1D and 2D uniform conductors using the nearest neighbor orthogonal tight-binding approximation in the frame of the «bottom – up» approach of modern nanoelectronics.

First of all we discuss the construction of the contact matrices of self-energies. The basic idea is that infinitely long conductor described by the Hamiltonian [H] is replaced by a conductor of the finite length described by the matrix [H + Σ1 + Σ2] with the open boundary conditions at the ends meaning “good” contacts, which do not create the reflected streams at its ends. Further we discuss 1D ballistic conductor, a 1D conductor with a single scattering center, then 2D conductor is modeling and explanation is given to the steplike dependence of the transmission coefficients over the energy, and finally there is given the representation of 2D/3D conductor in the form of parallel 1D conductors, which is not only physically correct but also extremely useful in interpreting experimental data.

In summary the physical adequacy of the Huckel approach is stated in the framework of the method of nonequilibrium Green’s functions.

- Kruglyak Yu.A., Kryzhanovskaja T.V. Metod neravnovesnyh funkcij Grina v matrichnom predstavlenii. 1. Teoreticheskie osnovy [Non-equilibrium Green’s functions method in matrix presentation. 1. Theoretical basics]. – Vіsnik Odes’kogo derzh. ekologіchnogo un-tu – Vìsn. Odes. derž. ekol. unìv., 2014, no 19, pp. 175 – 192.
- Datta Supriyo. Lessons from Nanoelectronics: A New Perspective on Transport. Hackensack, New Jersey: World Scientific Publishing Company, 2012, 474 p.; www.nanohub.org/courses/FoN2.
- Kruglyak Yu.A., Kruglyak N.E. Uroki nanojelektroniki [Lessons of Nanoelectronics]. 1 – 3. Fizicheskoe obrazovanie v vuzah – Physics in Higher Education, 2013, V. 19, no 1 – 3.
- Kruglyak Yu.A., Kvakush V.S., Djadjusha G.G., Hil’chenko V.I. Metody vychislenij v kvantovoj himii. Raschet π-jelektronnoj struktury molekul prostymi metodami molekuljarnyh orbitalej [Computational methods in quantum chemistry. Calculation of π-electronic structure of molecules by simple molecular orbital methods]. Kiev, 1967, 150 p.
- Kruglyak Yu.A., Ukrainsky I.I. Study of the electronic structure of alternant radicals by the DODS method. Intern. J. Quantum Chem, 1970, V. 4, no 1, pp. 57 – 72.
- Ukrainskij I.I., Kruglyak Yu.A. Izuchenie jelektronnoj struktury al’ternantnyh radikalov metodom rasshheplennyh orbitalej [Study of electronic structure of alternant radical by splited orbitals method]. Ukr. Fiz. Zhurnal – Ukr. Phys. J, 1970, V. 15, no 7, pp. 1068 – 1081.
- Kventsel G.F., Kruglyak Yu.A. Local Electronic States in Long Polyene Chains. Theor. Chim.Acta, 1968, V. 12, pp. 1 – 17.
- Strіha M.V. Fіzika grafenu: stan і perspektivi [Physics of Gra-phene: Present Status and Perspectives]. Sensor Electronics Microsyst. Techn., 2010, V. 1(7), no 3, pp. 5 – 13.
- Kruglyak Yu.A., Kruglyak N.E. Metodicheskie aspekty rascheta zonnoj struktury grafena s uchetom σ–ostova. Teoreticheskie osnovy [Methodical Aspects in Computation of Graphene Band Structure with an Account of σ-Core. Theoretical Basis]. – Vіsnik Odes’kogo derzh. ekologіchnogo un-tu – Vìsn. Odes. derž. ekol. unìv., 2012, no 13, pp. 207 – 218.
- Kruglyak Yu.A., Dyadyusha G.G. Torsion Barriers of End-Groups in Cumulenes. I. General Consideration. Theor. Chim.Acta, 1968, V. 10, pp. 23 – 32.
- Kruglyak Yu.A., Dyadyusha G.G. Torsion Barriers of End-Groups in Cumulenes. II. Results of Calculations and Discussion. Theor. Chim.Acta, 1968, V. 12, pp. 18 – 28.
- Kruglyak Yu.A., Djadjusha G.G. O povorotnyh bar’erah koncevyh grupp v organicheskih kumulenah [On rotational barriers of end-groups in organic cumulenes]. Teor. jeksper. Himija – Teor. eksper. Chem., 1968, V. 4, no 4, pp. 431 – 437.
- Kruglyak Yu.A., Kruglyak N.E., Strikha M.V. Uroky nanoelektroniky: vynyknennya strumu, formulyuvannya zakonu Oma i mody providnosti v kontseptsiyi «znyzu – vhoru» [Lessons of Nanoelectronics: Current generation, Ohm’s Law Formulation and Conduction modes in «Bottom – Up» Approach]. Sensor Electron-ics Microsys. Tech., 2012, V. 9, no.4, pp. 5 – 29.
- van Wees B.J., van Houten H., Beenakker C.W.J., Williamson J.G., Kouwenhoven L.P., van der Marel D., Foxon C.T. Quantized Conductance of Point Contacts in a Two-Dimensional Electron Gas. Phys. Rev. Lett, 1988, V. 60, no 9, pp. 848 – 850.
- Wharam D.A., Thornton T.J., Newbury R., Pepper M., Ahmed H., Frost J.E.F., Hasko D.G., Peacock D.C., Ritchie D.A., Jones G.A.C. One-Dimensional Transport and the Quantisation of the Ballistic Resistance. J. Phys. C: Solid State Phys, 1988, V. 21, no 8, pp. 209 – 214.

Sets out the elements of a gauge-invariant method of relativistic calculations within the relativistic-relativistic perturbation theory characteristics three-quasiparticle atomic states, in particular, states that correspond to the so-called dielectrons satellites of spectral lines of multiply charged ions complex. Proposed to develop an effective solution to the problem of the computational scheme for calculating matrix elementsments corresponding perturbation operator for the N-quasiparticle states in the relativistic orbitals gaugeinvariant QED TV Single- quasiparticle approach and its use in calculations of the spectra dielectronic satellites complex atomic systems, and multiply charged ions. In order to construct the optimized nonempirical single- quasiparticle approximation of QED PT for mulkti-electron three-quasiparticle atomic system it is used an relativistic energy approach. The problem is reduced to the formulation of a gauge-invariant principle of determining the electron density of the core in the atomic system (or zero-order Hamiltonian, or in the particular case, the specific parameters of the model-building with several particles of the core without the use of empirical data). Seeking the principle of optimization is reduced to minimization of the energy functional, representing the contribution of the QED PT fourth-order polarization diagrams (second-order atomic PT).

- Burkhalter P., Schneider R., Dozier C.M., Cowan R. Dielectronic satellite spectra of Na-like ions in laser-produced plasma. Phys.Rev.A, 1978, vol. 18, pp. 718-725.
- Driker M.N., Ivanova E.P., Ivanov L.N., Shestakov A.F. Relativistic calculation of spectra of 2-2 transitions in O-and F-like atomic ions. J.Quant.Spectr. Rad.Transfer, 1982, vol. 28, no. 6, pp. 531-535.
- Burkhalter P.,Nagel D.J. Advanced diagnostics based on observation of dielectronic satellite spectra of Ne-and Na-like ions in a laser produced plasmas. Phys.Rev.A., 1975, vol. 11, no. 3, pp. 782-788.
- Corliss C., Sugar J. Energy levels of iron. J.Phys.Chem.Ref.Data, 1982, vol. 11, no. 1, pp. 135-241.
- Fortov V.E., Bespabov V.E., Kulish M.I., Kuz S.I. Experimental study of optical properties of strongly coupled plasmas. Strongly Coupled Plasma Physics. N-Y.: Elsevier Sci.Publ., 1990. 571 p.
- Trabert E., Saathoff G., Wolf A. M1/E2 decay rates in CoXI,NiXII,CuXIII measured at heavy-ion storage ring. J.Phys.B.:At.Mol.Opt.Phys., 2004, vol. 37, pp. 945-952.
- TFR group, Cornille M., Dubau J., Loulergue M. Chare-dependent wavelengths shifts and line intensities in the dielectronic satellite spectrum of helium-like ions. Phys.Rev.A., 1985, vol. 32, no. 5, pp. 3000-3010.
- Jupen W.C., Denne B, Martinson I. Transitions in Al-like, Mg-like, Na-like Kr, Mo, observed in the JET Tokamak. Phys.Scripta, 1990, vol. 41, no. 5.- P. 669-674.
- Gillaspy J.D. EBIT spectra of highly stripped ions from the visible to the X ray. Phys.Scripta, 1996, vol. 65, pp. 169-174.
- Sobelman I.I. Introduction to the theory of atomic spectra. Moscow: Nauka, 1977. 213 p.
- Grant I.P. Relativistic Quantum Theory of Atoms and Molecules. Oxford, 2008. 650 p.
- Quiney H. Relativistic Quantum Mechanics of Atoms and Molecules. New Trends in Quantum Systems in Chemistry and Physics. Springer, 2002, vol. 6, pp. 135–173.
- Bell K.L., Berrington K., Crothers D., Hibbert A., Taylor K.T. BERTHA: 4-Component Relativistic Molecular Quantum Mechanics. Supercomputing, Collision Processes, and Application, Series: Physics of Atoms and Molecules. Springer, 2002, pp. 213–224.
- Glushkov A.V. Relativistic Quantum Theory. Quantum, mechanics of Atomic Systems. Odessa: Astroprint, 2008. 700 p.
- Ivanov L.N., Ivanova E.P. Extrapolation of atomic ion energies by model potential method: Na-like spectra. Atom.Dat. Nuc. Dat.Tab., 1979, vol. 24, pp. 95-121.
- Glushkov A.V., Ivanov L.N., Ivanova E.P. Generalized energy approach in relativistic theory of atom. Autoionization Phenomena in Atoms. Moscow: Moscow State Univ., 1986.
- Ivanova E.P., Gulov A.V. Theoretical investigation of the neon isoelectronic sequence. Atom.Data.Nucl.Data.Tabl., 1991, vol. 49, pp. 1-64.
- Gogava A.L., Ivanova E.P. Calculation of Na-like spectra–satellites to 2-3 transitions in Ne-like ions. In book: Spectroscopy of autoionization states of atoms and ions. Moscow: Nauka, 1988, pp. 212-256.
- Ivanova E.P., Glushkov A.V. Theoretical investigation of spectra of multicharged ions of F-and Ne-like isoelectronic sequences. J.Quant.Spectr.Rad.Tr., 1986, vol. 36, pp. 127-145.
- Ivanova E.P., Grant I.P. Oscillator strength anomalies in Ne isoelectronic sequence with applications to X-ray laser modeling. J.Phys.B.,1998, vol. 31, pp. 2871-2883.

The aim is to develop effective from the computational point of view of methods to describe the energy and spectral properties of Rydberg atoms in the framework of a quantum defect, the device implemented in the corresponding relativistic multiparticle perturbation theory. In the modern theory there is an urgent need to develop new, high-precision, of course, and ab initio relativistic gaugeinvariant theories of radiative transitions in the spectra of Rydberg atoms, multiply charged ions, but with mandatory use of the unique physical characteristics of these systems. In developing our version of the method of the relativistic model potential at the potential of the core is to realize the potential of the relativistic quantum defect approach Dplyus effective exchange-correlation interaction potential “foreign particle-frame.” Contained in the potential of the model parameter is defined in the framework of QED minimization procedure is gauge-violating contribution to the width of the radiation level in the generation of optimized bases relativistic wave functions (ab initio detection circuit parameter).

- Grant I.P. Relativistic Quantum Theory of Atoms and Molecules. Oxford, 2008. 650 p.
- Ivanova E.P., Grant I.P. Oscillator strength anomalies in Ne isoelectronic sequence with applications to X-ray laser modeling.J.Phys.B., 1998, vol.31, pp. 2871-2883.
- Glushkov A.V. Relativistic Quantum Theory. Quantum, mechanics of Atomic Systems. Odessa: Astroprint, 2008. 700 p.
- Glushkov A.V., Ivanov L.N. Radiation Decay of Atomic States: atomic residue and gauge non-invariant contributions. Phys. Lett.A., 1992, vol.170. pp. 33-38.
- Glushkov A.V. Advanced relativistic energy approach to radiative decay processes in multielectron atoms and multicharged ions. Advances in Theory of Quantum Systems in Chem. and Phys. Ser: Frontiers in Theoretical Phys. and Chem. Berlin: Springer, 2012, vol.26, pp. 31-54.
- Seaton M.J. Quantum defect theory. Rep. Prog. Phys., 1983, vol.46, pp. 167-258.
- Martin I., Karwowski J. Quantum defect orbitals and the Dirac second-order equation. J. Phys. B: At. Mol. Opt. Phys, 1991, vol.24, pp. 1539-1544.
- Charro E., Martin I., Lavin E. Multiconfiguration Dirac-Fock and Relativistic quantum defect orbital study of triplet-triplet transitions in beryllium-like ions. J.Quant.Spectr.Rad.Transf, 1996, vol.56, no. 2, pp. 241-253.
- Kohn W., Sham S. Quantum density oscillations in an inhomogeneous electron gas. Phys. Rev.A., 1965, vol.137, pp. 1697-1710.
- Stein M. Pseudo-potential approach to the relativistic treatment of alkali atoms. J.Phys.B.: At.Mol.Opt.Phys., 1993, vol.26, pp. 2087-2097.
- Martin G., Wiese W. Atomic oscillator-strength distributions in spectral series of Li isoelectronic sequence. Phys. Rev. A., 1976, vol.13, pp. 699-714.
- Martin G., Wiese W. Tables of critically evaluated oscillator strengths for lithium isoelectronic sequence. Journ. of Phys. Chem. Ref. Data, 1976, vol.5, pp. 537-570.
- Weiss A.W. Hartree-Fock line strengths for lithium, sodium and copper isoelectronic sequences. J.Quant. Spectr. Rad. Tr., 1977, vol.18, pp. 481-491.
- Gounand F. Calculation of radial matrix elements and Radiative lifetimes for highly excites states of alkali atoms using the Coulomb approximation. Journ. de Phys., 1979, vol.40, pp. 457-460.
- Lindgard A., Nielsen S.E. Transition probabilities for the alkali isoelectronic sequences: LiI, NaI, KI, RbI, CsI, FrI. Atom. Data.Nucl.Data.Tabl., 1977, vol.19, pp. 533-633.
- Nahar S.N. Relativistic fine structure oscillator strengths for Li-like ions: C IV Si XII,SXIV,ArXVI,CaXVIII,Ti XX,Cr XXII, Ni XXVI. Astronomy and Astrophys, 2002, vol.389, pp. 716-728.
- Ivanov L.N., Ivanova E.P. Extrapolation of atomic ion energies by model potential method: Na-like spectra. Atom.Data Nucl .Data Tab., 1979, vol.24, pp. 95-121.

In the paper we give a review of a new generalized energy approach (Gell-Mann and Low S-matrix formalism) combined with the relativistic multi-quasiparticle (QP) perturbation theory (PT) with the Dirac-Kohn-Sham zeroth approximation and accounting for the exchange-correlation, relativistic corrections to studying autoionization resonances in the complex atomic spectra. As application, we list the energies and widths of the number of the Rydberg resonances in helium. There are presented the results of comparison of our theory data for some helium autoionization resonances with the available experimental data and those results of other theories, including, method of complex rotation by Ho, algebraic approach by Wakid-Callaway, diagonalization method by Senashenko-Wague etc. Besides, we present new data on the energies of the configurations 1s5s, 1s5p, 1s5d, 1s5f, 1s5g terms in the spectrum of the ion Kr XXXV, as well as the corresponding values of the lifetimes of these states, calculated on the basis of the relativistic energy approach.

- Grant I.P. Relativistic Quantium Theory of Atoms and Moleculs. Oxford, 2008, pp 650.
- Luc Koenig E., Aymar M., Van Leeuwen R., Ubachs W., Hoger-vorst W. Phys. Rev.A., 1995, vol. 52, pp. 208-215.
- Quiney H. Relativistic Quantum Mechanics of Atoms and Moleculs. New Trends in Quantum Systems in Chemistry and Physics. Springer, 2002, vol. 6, pp. 135-173.
- Bell K.L., Berrington K., Grothers D., Hibbert A., Taylor K.T. BERTHA: 4-Component Relativistic Molecular Quantum Mechanics. Supercomputing, Collision Processes, and Application, Series: Physics of Atoms and Moleculs. Springer, 2002, pp. 213-214.
- Glushkov A.V. Relativistic Quantum Theory. Quantum, mechanics of Atomic Systems. Odessa: Astroprint, 2008, 900 p.
- Safronova U.I., Safronova M.S. Third-order relativistic many-body calculations of energies, transition rates, hyperfine constants, and blackbody radiation shift in 171Yb+. Phys. Rev. A., 2009, vol. 79, pp. 022512.
- Bieron J. Froese-Fisher C., Fritzshe S., Pachucki K. Lifetime and hyperfine structure of 3D2 state of radium. J. Phys. B: At Mol.Opt.Phys., 2004, vol. 37, pp. 305-311.
- Ivanov L.N., Ivanova E.P. Extrapolation of atomic ion energies by model potential method: Na-like spectra. Atom.Data Nucl. Data Tab., 1979, vol. 24, pp. 95-121.
- Bekov G.I., Vidolova-Angelova E., Ivanov L.N., Letokhov V.S., Mishin V.I. Laser spectroscopy of low excited autoionization states of the ytterbium atom. JETP., 1981, vol. 80, pp. 866-878.
- Vidolova-Angelova E., Ivanov L.N. Autoionizing Rydberg states of thulium. Re-orientation decay due to monopole interaction. J.Phys.B: At.Mol.Opt.Phys., 1991, vol. 24, pp. 4147-4158.
- Ivanov L.N., Letokhov V.S. Spectroscopy of autoionization resonances in heavy elements atoms. Com. Mod. Phys. D.: At. Mol. Phys., 1985, vol. 4, pp. 169-184.
- Glushkov A.V., Ivanov L.N., Ivanova E.P. Radiation decay of atomic states. Generalized energy approach. Autoionization Phenomena in Atoms. Moscow: Moscow State Univ., 1986, pp. 58-160.
- Glushkov A.V., Ivanov L.N. Radiation decay of atomic states: atomic residue and gauge non-invariant contributions. Phys. Lett.A., 1992, vol. 170, pp. 33-38.
- Glushkov A.V., Ivanov L.N. DC Strong-field Stark-effect: consistent quantum-mechanical approach. J.Phys.B: At. Mol. Opt. Phys., 1993, vol. 26, pp. L379-386.
- Glushkov A.V., Khetselius O. Yu., Svinarenko A.A. Relativistic theory of cooperative muon-gamma-nuclear processes: Negative muon capture and metastable nucleus discharge. Advances in the Theory of Quantum Systems in Chemistry and Physics. Springer, 2012, vol. 22, pp. 51-70.
- Glushkov A.V., Khetselius O. Yu., Loboda A.V., Svinarenko A.A. QED approach to atoms in a laser field: Multi-photon resonances and above threshold ionization. Frontiers in Quantum Systems in Chemistry and Physics. Springer, 2008, vol. 18, pp. 541-558.
- Glushkov A.V., Svinarenko A.A., Ignatenko A.V. Spectroscopy of autoionization resonances in spectra of the lanthanides atoms. Photoelectronics, 2011, vol. pp. 90-94.
- Glushkov A.V., Svinarenko A.A., Ignatenko A.V., Smirnov A.V. Spectroscopy of the complex autoionization resonances in spectrum of helium: Test and new spectral data. Photoelectronics, 2015, vol. 24, pp. 71-78.
- Svinarenko A.A., Nikola L.V., Perepelitsa G.P., Tkach T., Mishenko E. The Auger (autoionization) decay of excited states in spectra of multicharged ions: Relativistic theory. Spectral Lines Shape, 2010, vol. 16, pp. 94-98
- Malinovskaya S.V., Glushkov A.V., Khetselius O.Yu., Svinarenko A.A., Bakunina E.V., Florko T.A. The optimized perturbation theory scheme for calculating interatomic potentials and hyperfine liners shift for heavy atoms in buffer inert gas. Int. Journ. of Quantum Chemistry, 2009, vol. 109, pp. 3325-3329.
- Khetselius O. Yu. Relativistic perturbation theory calculation of the hyperfine structure parameters for some heavy-element isotopes. Int. Journ. of Quantum Chemistry, 2009, vol. 109, N 14, pp. 3330-3335.
- Madden R., Codling K. New autoionization atomic energy levels in He, Ne, Ar. Phys.Rev.Lett, 1963, vol. 10, pp. 516-520.
- Sakho I., Konte K., Ndao A.S., Biaye M., Wague A. Calculations of (nl)2 and (3lnl’) autoionizing states in two-electron systems. Physics Scripta, 2010, vol. 82, pp. 035301
- Ho Y.K. Autoionizing 1P0 states of He between the N=2 and 3 threshold of He+. Phys Rev. A., 1991, vol. 44, pp. 4154-4161.

Increasing agricultural production contributes to the rise in amount of wastes being both the result of residue formation under crop harvesting and the co-product of keeping farm animals. In order to use the mentioned wastes for obtaining alternative fuel through anaerobic digestion in biogas plants, it is necessary to estimate the volume of generated organic waste and to plan a biogas production in farms within various districts of the Odessa oblast. The main factor for elaboration of a logical system meeting the formulated requirements is the necessity to systematize the initial and calculated data and to obtain the calculation results. The paper aims at development of a cross-platform geographic information system, which makes it possible to perform systematization of the statistical data, calculation of the agricultural waste amount formed in various districts of the Odessa oblast; regulation of the received data and their visualization as a graphic content. A geographic information system, which contains the following structural elements, has been developed:

1) an interactive contoured map for the districts of the Odessa oblast; 2) a database containing both cartographic and attributive information on the biogas resources in the districts of the Odessa oblast; 3) a GIS application to process and visualize the geodatabase on the computer display.

GIS as a technology, which combines a database function, a spatial analysis and a high-grade visualization, can be used for numerous problems ranging from the initial data analysis to forecasting the outcomes of the specific environmental impact methods. Visualization of the results of data analysis as a graphical content provides an opportunity for the end user to evaluate the obtained information in a visual way, to plan the current activities or make a decision on the generation of further development strategy with regard to resource management.

- Statystychnyy zbirnyk “Mista ta rayony Odeskoi oblasti u 2013 rotsi” [The cities and districts of the Odessa oblast]. Holovne upravlinnya statystyky v Odeskii oblasti. Za red. T.V Kopylovoi. Derzhavna sluzhba statystyky Ukrainy. Collected stat. articles 2013. State Statistics Service of the Ukraine Edited by T.V Kopylova. Odesa, 2014. 279 p.
- Baader V., Done E., Brennderfer M. Biogaz: teoriya i praktika (Per. s nem. M.I. Serebryanogo.). [Biogas: Theory and Practice]. Translated by M.I. Serebryanyi. Moscow, 1982. 148 p.
- Rukovodstvo po biogazu ot polucheniya do ispol’zovaniya [Guide to biogas, from obtaining to use]. Fachagentur Nachwachsende Rohstoffe e.V. (FNR), FKZ/INP: 22005108 (Deutsches Biomasseforschungsczentrum gemeinnützige GmbH (DBFZ). Gulzow, 2010.
- S. Soufer, O. Zaborski. Biomassa kak istochnik energii. [Biomass as energy source]. Moscow, 1985. 368 p.
- Geletukha G.G., Kobzar’ S.G. Sovremennye tekhnologii anaerobnogo sbrazhivaniya biomassy (Obzor) [Modern technologies of biomass anaerobic fermentation (review)].Ekotekhnologii i resursosberezhenie: nauchno-tekhnicheskiy zhurnal NAN Ukrainy. Ecotechnology and resource saving. Scientific and technical journal NAS of Ukraine. Kyiv, 2002. No. 4, P. 3-10
- Stepanov D.V., Tkachenko S.Y., Ranskyi A.P. Otsinka mozhlyvostey otrymannya enerhonosiyiv z orhanichnykh vidkhodiv z urakhuvannyam tekhnohennoho navantazhennya na navkolyshnye

seredovyshche [An assessment of opportunity to receive energy from organic waste in mind of anthropogenic impact on the environment]. Naukovi pratsi VNTU. Sc. art. VNTU, 2012.No. 1.P. 1-7 - Geletukha G.G., Zheleznaya T.A., Tishaev S.V., Kobzar’ S.G. Razvitie bioenergeticheskikh tekhnologiy v Ukraine [Development of bioenergy technologies in the Ukraine]. Ekotekhnologii i resursosberezhenie: Nauchno-tekhnicheskiy zhurnal NAN Ukrainy, Іn-t gaza. Ecotechnology and resource saving. Scientific and technical journal NAS of Ukraine. Kyiv, 2002. No. 3, P. 3-11
- Losyuk Yu.A. Netraditsionnye istochniki energii. Uchebnoe posobie [Alternative energy sources: tutorial]. Yu.A. Losyuk, V.V. Kuz’mich. Minsk, 2005. 234 p.
- Proizvodstvo biogaza v respublike Belarus’ i Shvetsii (otchet o vypolnenii proekta). Obmen opytom. [Biogas production in the Republic of Belarus and Sweden (report on the implementation of the project). Experience exchange]. Uppsala Universitet, Swedish Institute, Uppsala Centre for Sustainable Development, 2012
- Kayumov M.K. Programmirovanie produktivnosti polevykh kul’tur [Programming of productivity of the field crops]. Spravochnik. 2-e izd., pererab. i dop. Handbook. 2nd edition. Moscow, 1989. 368 p.
- Tikhonravov V.S. Resursosberegayushchie biotekhnologii proizvodstva al’ternativnykh vidov topliva v zhivotnovodstve: nauch. analit. obzor [Resource-saving biotechnologies of alternative fuels production in livestock: analytic scientific review]. Moscow, 2011. 52 p.

The article deals with noise-proof, highly sensitive and accurate signal processing algorithms in the up-per-air radiosonde ranging stages, telemetry signal isolation, calculation of meteorological parameters. The effectiveness of the proposed algorithms performed by computational experiment for coherent and incoherent detector. The experiment was conducted using a computer. Both used the detector output MAV-PLL demodulator in order to obtain a reliable algorithm for both detectors used identical input. Science Experiment results show that the coherent detector signal probe identifies clearly better at low signal to noise ratio. At -8 dB gives a false signal value of the probe. A similar pattern was repeated at lower values of signal-to-noise -11 dB. During the experiments, there has been a steady gap detection threshold of the coherent detector 3-4 dB.

- Marpl-ml. S.L., Tsyfrovoy spektral’nyy analyz y eho prylozhenyya [Digital Spectral Analysis and Its Applications]. Moskva: Myr, 1990.
- Steven M. Kay. Fundamentals of Statistical Signal Processing, Volume I: Estimation Theory, Prentice Hall PTR March 26, 1993.
- Monson H. Hayes. Statistical Digital Signal Processing and Modeling, Wiley, March 1, 1996.
- Anderson R.R., Bennett W.R., Davey J.R., Salz J. Differential detection of binary FM, Bell Sysr. Tech. J., 1965, vol. 44, pp. 111-170.
- Masamura T., Samejima S., Morihiro Y., Fuketa H., Differential detection of MSK with nonredundant error correction. IEEE Trans. Conimun., 1978, vol. 26, pp. 912-918.
- Heinrich Meyr, Gerd Ascheid, Digital Communication Receivers, Phase-, Frequency-Locked Loops, and Amplitude Control, Wiley-Interscience, March 1990.
- Kelly C.N., Gupta S.C., The Digital Phase-Locked Loop as a Near-Optimum FM Demodulator, IEEE Transactions on Communications, June 1972.
- Patapoutian Ara, On Phase-Locked Loops and Kalman Filters, IEEE Transactions on Communications, vol 47, no. 5, May 1999.
- Polk D.R., Gupta S.C., Quasi-Optimum Digital Phase-Locked Loops, IEEE Transactions on Communications, Jan 1973.
- Sage A.P., White C.C.I. Optimum system control. Prentice-Hall Inc., Englewood Clis, N.J., 2nd edition edition, 1977.
- Alan L. McBride, On Optimum Sampled-Data FM demodulation, IEEE Transactions on Communications, no. 1, January, 1973 pp. 40-50.
- Efymov A.A., Pryntsyp raboty aэrolohycheskoho ynformatsyonno-vychyslytel’noho kompleksa AVK-1 [The principle of operation of upperair data processing complex AVK-1]. Moskovskyy hydrometeorolohycheskyy tekhnykum, 1989.
- Meyr H., Ascheid G. Synchronization in Digital Communications, vol 1, Wiley, New York, 1990.
- Gardner F.M. Phaselock Techniques, Wiley, New York, 1979.
- John L. Stensby. Phase-Locked Loops: Theory and Applications, CRC, June 19, 1997.
- Brennan P.V. Phase-Locked Loops: Principles and Practice, McGraw-Hill Professional, May 1, 1996.
- Katsuhisa Furuta. State Variable Methods in Automatic Control, John Wiley & Sons, October 26, 1988.
- Sage, Andrew P. Melsa, Estimation Theory with Applications to Communications and Control, McGraw-Hill Book Co., 1971.
- Harry L. Van Trees. Detection, Estimation, and Modulation Theory, Part I, Wiley-Interscience, Reprint edition, September 27, 2001.
- Van Trys H. Teoryya obnaruzhenyya, otsenok y modulyatsyy. Tom 1 [Theory of detection, evaluation and modulation. Volume 1]. Moscow: «Sov. radyo», 1972.
- Van Trys H. Teoryya obnaruzhenyya, otsenok y modulyatsyy. Tom 2 [Theory of detection, evaluation and modulation. Volume 2], Moscow: «Sov. radyo», 1975.

The article presents the way of environmental education in OSENU formation and development, university role in developing the concept of environmental education in Ukraine, educational activities training and methodological support for the specialists training in the «Ecology» direction.

- Osnovni napriamy reformuvannia vyschoi osvity v Ukraini [Main directions of reforming higher education in Ukraine ]. Ukaz Prezydenta Ukrainy «Pro osnovni napriamy reformuvannia vyschoi osvity v Ukraini» vid 12.09.1995r. no. 832/95 [Ukraine President Decree On the main directions of reforming higher education in Ukraine no. 832/95, 12.09.1995].
- Kontseptsiya ekolohichnoyi osvity Ukrayiny [The concept of environmental education in Ukraine]. Ekolohichnyy visnyk- Environmental Bulletin, 2002, no. 3-4.
- Haluzevyy standart vyshchoyi osvity z napryamu pidhotovky 6.040106 «Ekolohiya, okhorona navkolyshn’oho seredovyshcha ta zbalansovane pryrodokorystuvannya» [Industry standard higher education training direction 6.040106 Ecology, Environmental Protection and Balanced Nature]. Odessa: TES, 2012. 116 p.
- Zbirnyk testovykh zavdan’ perevirky zalyshkovykh bazovykh znan’ z normatyvnykh dystsyplin osvitn’o-profesiynoyi prohramy pidhotovky bakalavra za napryamom «Ekolohiya, okhorona navkolyshn’oho seredovyshcha ta zbalansovane pryrodokorystuvannya» [Collection of tests checking residual basic knowledge of regulatory disciplines educational and vocational training programs for Bachelor in “Ecology, Environmental Protection and Balanced Nature”]. Odessa: Ekolohiya, 2011. 265 p.
- Stepanenko S.M., Vladimirova E.G. (Eds). Zbirnyk prohram normatyvnykh navchal’nykh dystsyplin osvitn’o-profesiynoyi prohramy pidhotovky bakalavra za napryamom «Ekolohiya, okhorona navkolyshn’oho seredovyshcha ta zbalansovane pryrodokorystuvannya»: Navchal’ne vydannya [Collection programs of regulatory disciplines educational and vocational training programs for Bachelor in Ecology, Environmental Protection and Balanced Nature: educational publications ]. Odessa, 2013. 173 p.
- Nekos V.U., Safranov T.A. Navchal’ni prohramy normatyvnykh dystsyplin osvitn’o-profesiynoyi prohramy pidhotovky bakalavra za napryamom «Ekolohiya»: Navchal’ne vydannya [Training programs regulatory disciplines educational and vocational training programs for Bachelor in Ecology: educational publications]. Kharkov.: V. N. Karazin Kharkiv National University, 2005. 268 p.
- Haluzevyy standart vyshchoyi osvity osvitn’o-kvalifikatsiynoho rivnya «mahistr» zi spetsial’nosti 8.04010601 «Ekolohiya ta okhorona navkolyshn’oho seredovyshcha», haluzi znan’ 0401 «Pryrodnychi nauky» [Industry standards of higher education educational qualification level “master” in the specialty 8.04010601 “Ecology and Environment” area of knowledge 0401 “Natural Science”]. Odessa, 2014. 128 p.
- Haluzevyy standart vyshchoyi osvity osvitn’o-kvalifikatsiynoho rivnya «mahistr» zi spetsial’nosti 8.04010604 «Ekolohichnyy kontrol’ ta audyt», haluzi znan’ 0401 «Pryrodnychi nauky» [Industry standards of higher education educational qualification level “master” in the specialty 8.04010604 “Environmental control and audit” area of knowledge 0401 “Natural Sciences”]. Odessa, 2014. 110 p.
- Safranov T.A., Vladymyrova E.G. Zbirnyk prohram navchal’nykh dystsyplin OPP pidhotovky mahistriv za spetsial’nostyamy napryamu «Ekolohiya, okhorona navkolyshn’oho seredovyshcha ta zbalansovane pryrodokorystuvannya», haluzi znan’ «Pryrodnychi nauky»: Navchal’ne vydannya [Collection programs of disciplines OPP training masters in the direction of “Ecology, Environmental Protection and Sustainable Use of Natural Resources” area of expertise “Natural Sciences”: educational publications]. Odessa: TES, 2014. 162 p.