Desynchronized wave patterns in synchronized chaotic regions of coupled map lattices

Palaniyandi, P. ; Muruganandam, P. ; Lakshmanan, M. (2005) Desynchronized wave patterns in synchronized chaotic regions of coupled map lattices Physical Review E, 72 (3). 037205_1-037205_4. ISSN 1063-651X

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Official URL: http://link.aps.org/doi/10.1103/PhysRevE.72.037205

Related URL: http://dx.doi.org/10.1103/PhysRevE.72.037205

Abstract

We analyze the size limits of coupled map lattices with diffusive coupling at the crossover of low-dimensional to high-dimensional chaos. We investigate the existence of standing-wave-type periodic patterns, within the low-dimensional limit, in addition to the stable synchronous chaotic states depending upon the initial conditions. Further, we bring out a controlling mechanism to explain the emergence of standing-wave patterns in the coupled map lattices. Finally, we give an analytic expression in terms of the unstable periodic orbits of the isolated map to represent the standing-wave patterns.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:19590
Deposited On:22 Nov 2010 12:21
Last Modified:17 May 2016 04:06

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