This article is cited 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

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

DOI: 10.4213/tmf350

 English version: Theoretical and Mathematical Physics, 2002, 132:1, 983–999

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