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

DOI10.1023/B:JOSS.0000003110.15959.D3zbMATH Open1060.82026arXivnlin/0301003OpenAlexW3099222065MaRDI QIDQ1777749

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Publication date: 25 May 2005

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/nlin/0301003

zbMATH Keywords

fractals coupled map lattices high-dimensional chaos numerical simulations of chaotic models

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Foundations of time-dependent statistical mechanics (82C03) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)