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Critical lattice size limit for synchronized chaotic state in one- and two-dimensional diffusively coupled map lattices

Palaniyandi, P and Rangarajan, Govindan (2007) Critical lattice size limit for synchronized chaotic state in one- and two-dimensional diffusively coupled map lattices. In: Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 76 (2).

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Official URL: http://pre.aps.org/abstract/PRE/v76/i2/e027202

Abstract

We consider diffusively coupled map lattices with P neighbors (where P is arbitrary) and study the stability of the synchronized state. We show that there exists a critical lattice size beyond which the synchronized state is unstable. This generalizes earlier results for nearest neighbor coupling. We confirm the analytical results by performing numerical simulations on coupled map lattices with logistic map at each node. The above analysis is also extended to two-dimensional P-neighbor diffusively coupled map lattices.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to The American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 10 Jun 2010 04:49
Last Modified: 19 Sep 2010 05:56
URI: http://eprints.iisc.ernet.in/id/eprint/26155

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