**Authors: **O.Yu. Khetselius

**Year: **2015

**Issue: **19

**Pages: **30-35

**Abstract**

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.

**Tags: **analysis and prediction methods of the theory of chaos; hydroecological systems; pollutants; the ecological state; time series of concentrations

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