An open-system approach for the characterization of spatio-temporal chaos

Details An open-system approach for the characterization of spatio-temporal chaos An open-system approach for the characterization of spatio-temporal chaos

2003-01-05

arxiv.org/abs/nlin/0301003v1

Published in Journal of Statistical Physics: vol.114, p.205 (2004)

Nonlinear Sciences

Chaotic Dynamics

Submitted to J.Stat.Phys. - 26 pages, 7 eps-figures included. Keywords: High-dimensional Chaos; Fractals; Coupled map lattices

Scientific paper

10.1023/B:JOSS.0000003110.15959.

We investigate the structure of the invariant measure of space-time chaos by adopting an "open-system" point of view. We consider large but finite windows of formally infinite one-dimensional lattices and quantify the effect of the interaction with the outer region by mapping the problem on the dynamical characterization of localized perturbations. This latter task is performed by suitably generalizing the concept of Lyapunov spectrum to cope with perturbations that propagate outside the region under investigation. As a result, we are able to introduce a "volume"-propagation velocity, i.e. the velocity with which ensembles of localized perturbations tend to fill volumes in the neighbouring regions.

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