Asynchronous updating of coupled maps leads to synchronization

Mehta, Mitaxi ; Sinha, Sudeshna (2000) Asynchronous updating of coupled maps leads to synchronization Chaos, 10 (2). pp. 350-358. ISSN 1054-1500

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Official URL: http://chaos.aip.org/resource/1/chaoeh/v10/i2/p350...

Related URL: http://dx.doi.org/10.1063/1.166501

Abstract

We investigate the spatiotemporal dynamics of two dimensional coupled map lattices, in the strong coupling phase, evolving under updating rules incorporating varying degrees of asynchronicity. Interestingly, we observe that parallel updates never allow synchronization among the sites, while asynchroncity has the effect of opening up windows in parameter space where the synchronized dynamics gains stability. As asynchronicity increases, the parameter range supporting synchronization gets rapidly wider. Detailed numerics, including bifurcation diagrams and patterns formed en route to synchronization, are reported. We also attempt a mean-field analysis of the system in order to try and account for the stability of the spatiotemporal fixed point under asynchronous updates.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
Keywords:Lattice Theory; Synchronisation; Bifurcation
ID Code:60904
Deposited On:12 Sep 2011 09:37
Last Modified:12 Sep 2011 09:37

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