New geography-mathematic approaches in the tasks of design of distribution of harmful admixtures in an atmosphere

Abstract

It is presented a qualitative overview of the new conceptual approaches, which are based on the provisions of the chaos theory, dynamical systems theory, fractal geometry, analysis of Lyapunov exponents, and others, to problems of modeling the propagation of pollution impurities in the atmosphere of industrial cities and predicting the evolutionary dynamics. We summarize the main ideas of these approaches with emphasis on the analysis of time series of concentrations of pollution impurities in the atmosphere, as well as an analysis that shows that the chaotic regime of the time evolution of the characteristics of deterministic dynamical systems, in particular, the application of ecological systems is, in fact, a non-linear phenomenon which in principle can not be described on the basis of the classical linear regular-dynamic models.

Keywords

• dynamical system, nonlinear analysis, phase space, chaos theory, the problem of modeling the propagation of pollution impurities in the atmosphere