Journal
CHAOS SOLITONS & FRACTALS
Volume 41, Issue 2, Pages 997-1004Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2008.04.044
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Funding
- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq), Brazil
- Third World Academy of Sciences, Trieste, Italy
- Government of India
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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. (c) 2008 Elsevier Ltd. All rights reserved.
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