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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 132, Number 1, Pages 105–125
DOI: https://doi.org/10.4213/tmf350 (Mi tmf350) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Dynamics of Inhomogeneous Chains of Coupled Quadratic Maps

A. Yu. Loskutov, A. K. Prokhorov, S. D. Rybalko

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/tmf350
Abstract: A new effective local analysis method is elaborated for coupled map dynamics. In contrast to the previously suggested methods, it allows visually investigating the evolution of synchronization and complex-behavior domains for a distributed medium described by a set of maps. The efficiency of the method is demonstrated with examples of ring and flow models of diffusively coupled quadratic maps. An analysis of a ring chain in the presence of space defects reveals some new global-behavior phenomena.
Keywords: distributed media, space–time chaos, coupled-map lattices.
Received: 17.12.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 132, Issue 1, Pages 983–999
DOI: https://doi.org/10.1023/A:1019667526473
Bibliographic databases:
Language: Russian
Citation: A. Yu. Loskutov, A. K. Prokhorov, S. D. Rybalko, “Dynamics of Inhomogeneous Chains of Coupled Quadratic Maps”, TMF, 132:1 (2002), 105–125; Theoret. and Math. Phys., 132:1 (2002), 983–999
Citation in format AMSBIB
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\by A.~Yu.~Loskutov, A.~K.~Prokhorov, S.~D.~Rybalko
\paper Dynamics of Inhomogeneous Chains of Coupled Quadratic Maps
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\pages 105--125
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\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 132
\issue 1
\pages 983--999
\crossref{https://doi.org/10.1023/A:1019667526473}
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  • https://doi.org/10.4213/tmf350
  • https://www.mathnet.ru/eng/tmf/v132/i1/p105
    • This publication is cited in the following 1 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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