For the first time we present the results of computational analysis and modelling the atmospheric radon 222 Rn concentration temporal dynamics using the data of the Chester surface observations of the Environmental Measurements Laboratory (USA Dept. of Energy). A chaotic behaviour has been discovered and in details investigated by using nonlinear methods of the chaos and dynamical systems theories. To reconstruct the corresponding strange chaotic attractor, the time delay and embedding dimension are computed. The former is determined by the methods of autocorrelation function and average mutual information, and the latter is calculated by means of correlation dimension method and algorithm of false nearest neighbours. The topological and dynamical invariants for the observed time series of the Rn concentrations are computed..

It is presented an advanced quantum-kinetic model to describe the nonlinear-optical (spectroscopic) effect caused by the interaction of infrared laser radiation with a gas atmosphere. We determine the quantitative features of energy exchange in a mixture of CO 2 -N 2 -H 2 О atmospheric gases of atmospheric gases, which can be used in the development of new sensory spectroscopic technologies for observing the state of the atmosphere.

A chaos-geometric approach to analysis, modelling and forecasting atmospheric pollutants dynamics for industrial regionsWe applied an advanced chaos-geometric approach to analysis, modeling, forecasting and processing the time series of the air pollutants (NO 2 ) concentrations in an atmosphere of the industrial cities (regions). The approach includes such advanced non-linear analysis and a chaos theory methods such as a multifractal approach, correlation integral algorithm, the Lyapunov's exponents and Kolmogorov entropy analysis, a power spectrum analysis, prediction models with neural networks blocks etc. The dynamical and topological invariants (including the Lyapunov's exponents spectrum, Kaplan-Yorke dimension, Kolmogorov entropy etc) for the air pollutants (NO 2 ) concentrations time series in an atmosphere of the industrial cities are computed. Our study has shown an existence of a deterministic chaos in the atmospheric pollutants fluctuations dynamics. It is presented an effective prediction model for description of the temporal evolutionary dynamics of the air pollutants concentration in atmosphere of the industrial city.

Àííîòàöèÿ. Ðàçðàáîòàíû òåîðåòè÷åñêèå îñíîâû íîâîé ìèêðîñèñòåìíîé òåõíîëîãèè «GeoMath» äëÿ ìîäåëèðîâàíèÿ ãëîáàëüíûõ ìåõàíèçìîâ àòìîñôåðíûõ ïðîöåññîâ, áàëàíñà óãëîâîãî ìîìåíòà Çåìëè, ýôôåêòà òåëåêîííåêöèè è ïàðàìåòðîâ àòìîñôåðíûõ ðàäèîâîëíîâîäîâ.

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