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Low dimensional behavior in three-dimensional coupled map lattices

Paulsamy Muruganandam·Gerson Francisco·Marcio de Menezes·Fernando F. Ferreira
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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.

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Paulsamy Muruganandam, Gerson Francisco, Marcio de Menezes, Fernando F. Ferreira. 2007-06-12. Low dimensional behavior in three-dimensional coupled map lattices. https://doi.org/10.1016/j.chaos.2008.04.044

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