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Desynchronized wave patterns in synchronized chaotic regions of coupled map lattices

P. Palaniyandi·P. Muruganandam·M. Lakshmanan
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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.

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P. Palaniyandi, P. Muruganandam, M. Lakshmanan. 2005-09-16. Desynchronized wave patterns in synchronized chaotic regions of coupled map lattices. https://doi.org/10.1103/physreve.72.037205

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