Spatiotemporal consequences of relaxation time scales in threshold-coupled systems

Mondal, Arghya ; Sinha, Sudeshna (2006) Spatiotemporal consequences of relaxation time scales in threshold-coupled systems Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 73 (2). 026215_1-026215_8. ISSN 1539-3755

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Official URL: http://pre.aps.org/abstract/PRE/v73/i2/e026215

Related URL: http://dx.doi.org/10.1103/PhysRevE.73.026215

Abstract

We study a class of models incorporating threshold-activated coupling on a lattice of chaotic elements. In such systems, the relaxation time allowed between chaotic updates determines the intrinsic driving rate due to the local chaos, and we show that there exists an inverse cascade from fixed spatial profiles to spatiotemporal chaos, as the relaxation time grows shorter. We analyze how this spectrum of spatiotemporal transitions arises from the competing time scales of the local chaos and the propagation of coupling.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:60924
Deposited On:12 Sep 2011 09:40
Last Modified:18 May 2016 10:51

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