TOWARDS A STATISTICAL-MECHANICS OF SPATIOTEMPORAL CHAOS

A POLITI, A TORCINI

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

Coupled Henon maps are introduced to model in a more appropriate way chaos in extended systems. An effective technique allows the extraction of spatiotemporal periodic orbits, which are then used to approximate the invariant measure. A further implementation of the zeta-function formalism reveals the extensive character of entropies and dimensions, and allows the computation of the associated multifractal spectra. Finally, the analysis of short chains indicates the existence of distinct phases in the invariant measure, characterized by a different number of positive Lyapunov exponents.

Original languageEnglish
Pages (from-to)3421-3424
Number of pages4
JournalPhysical Review Letters
Volume69
Issue number24
Publication statusPublished - 14 Dec 1992

Keywords

  • UNSTABLE PERIODIC-ORBITS
  • STRANGE SETS
  • ATTRACTORS
  • INTERMITTENCY
  • DIMENSIONS

Cite this