Asynchronous updating restores the law of large numbers in globally coupled systems

Sinha, Sudhesna (2002) Asynchronous updating restores the law of large numbers in globally coupled systems International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 12 (3). pp. 663-669. ISSN 0218-1274

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Official URL: http://www.worldscinet.com/ijbc/12/1203/S021812740...

Related URL: http://dx.doi.org/10.1142/S0218127402004619

Abstract

It was observed in earlier studies, that the mean field of globally coupled maps evolving under synchronous updating rules violated the law of large numbers, and this remarkable result generated widespread research interest. In this work we demonstrate that incorporating increasing degrees of asynchronicity in the updating rules rapidly restores the statistical behavior of the mean field. This is clear from the decay of the mean square deviation of the mean field with respect to lattice size N, for varying degrees of asynchronicity, which shows 1/N behavior upto very large N even when the updating is far from fully asynchronous. This is also evidenced through increasing 1/f2 behavior regimes in the power spectrum of the mean field under increasing asynchronicity.

Item Type:Article
Source:Copyright of this article belongs to World Scientific Publishing Company.
Keywords:Coupled Map Lattices; Asynchronous Updating; Law of Large Numbers; Power Law Spectra
ID Code:60907
Deposited On:12 Sep 2011 09:37
Last Modified:12 Sep 2011 09:37

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