Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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Geometry of Chaos: Advanced computational approach to treating chaotic dynamics of environmental radioactivity systems I General Formalism

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Alexander Glushkov
Viktor Kuzakon
Olga Khetselius
Valentin Ternovsky

Abstract

In the paper we go on a development of effective new chaos geomentry and non-linear analysis technique to studying chaotic features of different naturesystems. We presented the general formalism of the chaos-geometrical appraoch to treating, analysing, modelling and forecasting chaotic dynamics of environmental radioactivity systems. As usually, the approach combines together application of the advanced multifractal formalism, the advanced mutual information scheme, the Grassberger-Procaccia algorythm, the  Lyapunov exponent analysis, the method of predicted phase trajectories, the memory functions method, the neural networks algorythms etc.

Keywords:
geometry of chaos; non-linear analysis; environmental radioactivity systems.

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How to Cite
Glushkov, A., Kuzakon, V., Khetselius, O., & Ternovsky, V. (2020). Geometry of Chaos: Advanced computational approach to treating chaotic dynamics of environmental radioactivity systems I General Formalism. Proceedings of the International Geometry Center, 8(3-4), 69-78. https://doi.org/10.15673/tmgc.v8i3-4.1612
Section
Papers
Author Biography

Alexander Glushkov, Odessa State Environmental University

Department of higher and applied mathematics, Head of department, professor

References

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