Chronotopic Lyapunov analysis .1. A detailed characterization of 1D systems

S Lepri, A Politi, A Torcini

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Abstract

Instabilities in 1D spatially extended systems are studied with the aid of both temporal and spatial Lyapunov exponents. A suitable representation of the spectra allows a compact description of all the possible disturbances in tangent space. The analysis is carried out for chaotic and periodic spatiotemporal patterns. Singularities of the spectra and localization properties of the associated Lyapunov vectors are discussed.

Original languageEnglish
Pages (from-to)1429-1452
Number of pages24
JournalJournal of Statistical Physics
Volume82
Issue number5-6
Publication statusPublished - Mar 1996

Keywords

  • high-dimensional chaos
  • spatiotemporal instabilities
  • temporal and spatial Lyapunov spectra
  • coupled map lattices, localization
  • COUPLED MAP LATTICES
  • NONLINEAR OSCILLATORS
  • DYNAMICAL-SYSTEMS
  • CHAOS
  • LOCALIZATION
  • EXPONENTS
  • DIFFUSION
  • SPECTRA
  • LIMIT

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