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Modelirovanie i Analiz Informatsionnykh Sistem, 2009, Volume 16, Number 3, Pages 96–115 (Mi mais67)  

This article is cited in 15 scientific papers (total in 15 papers)

Difference approximations of “reaction–diffusion” equation on a segment

S. D. Glyzin

P. G. Demidov Yaroslavl State University
References:
Abstract: The system of phase differences for a chain of diffuse weakly coupled oscillators on a stable integral manifold is constructed and analysed. It is shown by means of numerical methods that as the number of oscillators in the chain increases, the Lyapunov dimention growth is close to linear. The extensive computations performed for difference model of Ginsburg-Landau equation illustrate this result and determine the applicability limits for asymptotic methods.
Keywords: chaotic attractor, autooscillations, autogenerator, Lyapunov's dimension, bifurcations, invariant torus.
Received: 22.09.2009
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. D. Glyzin, “Difference approximations of “reaction–diffusion” equation on a segment”, Model. Anal. Inform. Sist., 16:3 (2009), 96–115
Citation in format AMSBIB
\Bibitem{Gly09}
\by S.~D.~Glyzin
\paper Difference approximations of ``reaction--diffusion'' equation on a segment
\jour Model. Anal. Inform. Sist.
\yr 2009
\vol 16
\issue 3
\pages 96--115
\mathnet{http://mi.mathnet.ru/mais67}
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  • https://www.mathnet.ru/eng/mais/v16/i3/p96
  • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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