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KIAM Preprint № 12, Moscow, 2020
Authors: Malinetskii G.G., Klochkov A.K.
Simulation of oscillatory chemical reactions with chaotic behavior
The present paper deals with the simulation of oscillatory chemical reactions with chaotic behavior based on the classical model of O. Rӧssler. The attractors of the system and Lyapunov exponents are numerically calculated when one of the parameters changes. The transition scenario from order to chaos is investigated. System solution behavior in chaotic mode is described qualitatively. Autocorrelation functions, invariant measures of some quantities, and one-dimensional maps of some interesting attractors are constructed using the Poincare section. A qualitative comparison of bifurcation diagrams by the original system and the resulting one-dimensional map is performed.
chaos, attractor, Lyapunov exponents, Poincaré section, numerical method, Rӧssler system, one-dimensional maps family
Publication language: russian,  pages: 18
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Malinetskii Georgii Gennadyevich, RAS
  • Klochkov Alexey Konstantinovich,,  Bauman Moscow State Technical university (BMSTU)