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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 203, Number 1, Pages 10–25
DOI: https://doi.org/10.4213/tmf9824 (Mi tmf9824) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Diffusion chaos and its invariant numerical characteristics

S. D. Glyzina, A. Yu. Kolesova, N. Kh. Rozovb

a Demidov Yaroslavl State University, Yaroslavl, Russia
b Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (775 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9824
Abstract: For distributed evolutionary dynamical systems of the "reaction–diffusion" and "reaction–diffusion–advec-tion" 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.
Keywords: reaction–diffusion system, diffusion chaos, attractor, Lyapunov dimension.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10055
This research was supported by the Russian Foundation for Basic Research (Grant No. 18-29-10055).
Received: 18.09.2019
Revised: 29.11.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 203, Issue 1, Pages 443–456
DOI: https://doi.org/10.1134/S0040577920040029
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Diffusion chaos and its invariant numerical characteristics”, TMF, 203:1 (2020), 10–25; Theoret. and Math. Phys., 203:1 (2020), 443–456
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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