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Modelirovanie i Analiz Informatsionnykh Sistem, 2013, Volume 20, Number 1, Pages 30–51
(Mi mais285)
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This article is cited in 5 scientific papers (total in 5 papers)
Dimensional Characteristics of Diffusion Chaos
S. D. Glyzin P. G. Demidov Yaroslavl State University, Yaroslavl, Russia
Abstract:
The phenomenon of multimode diffusion chaos is considered. For a number of examples it is shown that the Lyapunov dimension of the attractor of a distributed dynamical system increases as the diffusion coefficient tends to 0.
Keywords:
diffusion chaos, attractor, Lyapunov dimension, Ginzburg–Landau equation, bifurcation, Landau–Sell scenario.
Received: 20.12.2012
Citation:
S. D. Glyzin, “Dimensional Characteristics of Diffusion Chaos”, Model. Anal. Inform. Sist., 20:1 (2013), 30–51
Linking options:
https://www.mathnet.ru/eng/mais285 https://www.mathnet.ru/eng/mais/v20/i1/p30
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Abstract page: | 470 | Full-text PDF : | 153 | References: | 58 |
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