Open AccessGeometry of Chaos: Advanced computational approach to treating chaotic dynamics of environmental radioactivity systems I General Formalism
Author(s) -
А. В. Глушков,
Viktor Kuzakon,
О. Yu. Khetselius,
V. B. Ternovsky
Publication year - 2020
Publication title -
trudy meždunarodnogo geometričeskogo centra/pracì mìžnarodnogo geometričnogo centru
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.124
H-Index - 2
eISSN - 2409-8906
pISSN - 2072-9812
DOI - 10.15673/tmgc.v8i3-4.1612
Subject(s) - formalism (music) , multifractal system , chaotic , lyapunov exponent , statistical physics , computer science , chaos theory , mathematics , fractal , artificial intelligence , physics , mathematical analysis , art , musical , visual arts
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.