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Low dimensional behavior in three-dimensional coupled map lattice

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

The analysis of one-,two-,three-dimensional coupled map lattices is here developed under a statistical and a dynamical perspective. We show that the three-dimensional CML exhibts low dimensional behavior with long range correlation and the power spectrum follows a 1/f noise. This approach leads to an integrated understanding of the most important properties of these universal models of spatiotemporal chaos

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