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

P Cipriani, A Politi

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)205-228
Number of pages24
JournalJournal of Statistical Physics
Volume114
Issue number1-2
Publication statusPublished - Jan 2004

Keywords

  • high-dimensional chaos
  • fractals
  • coupled map lattices
  • numerical simulations of chaotic models
  • COUPLED MAP LATTICES
  • CHRONOTOPIC LYAPUNOV ANALYSIS
  • STRANGE ATTRACTORS
  • DYNAMICAL-SYSTEMS
  • FRACTAL DIMENSION
  • EXPONENTS
  • EQUATION
  • LIMIT

Cite this