ERROR PROPAGATION IN EXTENDED CHAOTIC SYSTEMS

A TORCINI, P GRASSBERGER, A POLITI

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Abstract

A strong analogy is found between the evolution of localized disturbances in extended chaotic systems and the propagation of Fronts separating different phases. A condition for the evolution to be controlled by nonlinear mechanisms is derived on the basis of this relationship. An approximate expression for the nonlinear velocity is also determined by extending the concept of the Lyapunov exponent to a growth rate of finite perturbations.

Original languageEnglish
Pages (from-to)4533-4541
Number of pages9
JournalJournal of Physics A: Mathematical and General
Volume28
Issue number16
Publication statusPublished - 21 Aug 1995

Keywords

  • MARGINAL STABILITY
  • FRONT PROPAGATION
  • UNSTABLE STATES

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