Low dimensional behavior in three-dimensional coupled map lattices

Paulsamy Muruganandam, Gerson Francisco, Marcio de Menezes and Fernando F. Ferreira

Chaos, Solitons & Fractals, 2009, vol. 41, issue 2, 997-1004

Abstract: The analysis of one-, two-, and three-dimensional coupled map lattices is here developed under a statistical and dynamical perspective. We show that the three-dimensional CML exhibits low dimensional behavior with long range correlation and the power spectrum follows 1/f noise. This approach leads to an integrated understanding of the most important properties of these universal models of spatiotemporal chaos. We perform a complete time series analysis of the model and investigate the dependence of the signal properties by change of dimension.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:2:p:997-1004

DOI: 10.1016/j.chaos.2008.04.044

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