KIAM Main page Web Library  •  Publication Searh  Русский 
Publication

KIAM Preprint № 12, Moscow, 2020
Authors: Malinetskii G.G., Klochkov A.K.
Simulation of oscillatory chemical reactions with chaotic behavior
Abstract:
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.
Keywords:
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
Russian source text:
Export link to publication in format:   RIS    BibTeX
View statistics (updated once a day)
over the last 30 days — 2 (-7), total hit from 10.02.2020 — 500
About authors:
  • Malinetskii Georgii Gennadyevich,  orcid.org/0000-0001-6041-1926KIAM RAS
  • Klochkov Alexey Konstantinovich,  orcid.org/0000-0001-7880-1922,  Bauman Moscow State Technical university (BMSTU)