Low dimensional behavior in three-dimensional coupled map lattices

Details Low dimensional behavior in three-dimensional coupled map lattices Low dimensional behavior in three-dimensional coupled map lattices

2006-09-12

arxiv.org/abs/nlin/0609028v2

Chaos, Solitons & Fractals 41 (2009) 997-1004

Nonlinear Sciences

Chaotic Dynamics

7 pages, 6 figures (revised)

Scientific paper

10.1016/j.chaos.2008.04.044

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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