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Dynamics of Inhomogeneous Chains of Coupled Quadratic Maps

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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.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

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

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  1. A. Yu. Loskutov
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  2. A. K. Prokhorov
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  3. S. D. Rybalko
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Loskutov, A.Y., Prokhorov, A.K. & Rybalko, S.D. Dynamics of Inhomogeneous Chains of Coupled Quadratic Maps. Theoretical and Mathematical Physics 132, 983–999 (2002). https://doi.org/10.1023/A:1019667526473

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