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- Title
Diffusion chaos and its invariant numerical characteristics.
- Authors
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Ch.
- Abstract
For distributed evolutionary dynamical systems of the "reaction-diffusion" and "reaction-diffusion-advection" types, we analyze the behavior of invariant numerical characteristics of the attractor as the diffusion coefficients decrease. We consider the phenomenon of multimode diffusion chaos, one of whose signatures is an increase in the Lyapunov dimensions of the attractor. For several examples, we perform broad numerical experiments illustrating this phenomenon.
- Subjects
DIFFUSION; DYNAMICAL systems; ATTRACTORS (Mathematics); DIFFUSION coefficients
- Publication
Theoretical & Mathematical Physics, 2020, Vol 203, Issue 1, p443
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577920040029