SPATIOTEMPORAL CHAOS AND LOCALIZATION

G GIACOMELLI, A POLITI

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30 Citations (Scopus)

Abstract

Nonlinearities in the flow equations of spatially extended systems can give rise to high-dimensional deterministic chaos. This plays the role of an intrinsic source of disorder in tangent space, and can lead to localization phenomena. A transfer matrix approach is applied to 1d chains of coupled maps to unravel the structure of the Lyapunov vectors. Generically, we find localized and fractal <<states>>, the latter ones being characterized by an information dimension strictly bounded between 0 and 1.

Original languageEnglish
Pages (from-to)387-392
Number of pages6
JournalEurophysics Letters
Volume15
Issue number4
Publication statusPublished - 15 Jun 1991

Keywords

  • THEORY AND MODELS OF CHAOTIC SYSTEMS
  • LOCALIZATION IN DISORDERED STRUCTURES
  • COUPLED MAP LATTICES
  • SIZE SCALING APPROACH
  • ANDERSON LOCALIZATION
  • INTERMITTENCY
  • SPECTRA

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