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JOURNALS // Modelirovanie i Analiz Informatsionnykh Sistem // Archive
Model. Anal. Inform. Sist., 2013 Volume 20, Number 1, Pages 30–51 (Mi mais285)
This article is cited 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.

UDC: 517.9

Received: 20.12.2012


© Steklov Math. Inst. of RAS, 2024