Spatiotemporal chaos and effective stochastic dynamics for a near-integrable nonlinear system

David Cai, David W. McLaughlin, Jalal Shatah

Research output: Contribution to journalArticle

Abstract

We address (i) the onset of spatiotemporal chaos (STC) induced by the hyperbolic structure in a weakly perturbed nonlinear Schrödinger equation, and (ii) its effective stochastic dynamics (ESD). We obtain the following new results: (1) a very small number (two for our system) of linearly unstable modes is sufficient to trigger the onset of STC as characterized by an exponential decay in space of the mutual information; (2) the construction of the ESD needs only temporal chaos, in contrast to the requirement of full STC as usually believed.

Original languageEnglish (US)
Pages (from-to)280-286
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume253
Issue number5-6
DOIs
StatePublished - Mar 29 1999

Keywords

  • Integrability
  • Mutual information
  • NLS
  • Spatiotemporal chaos
  • Stochastic dynamics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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