Riddled parameter space in spatiotemporal chaotic dynamical systems

Ying-Cheng Lai, Raimond L. Winslow

Research output: Contribution to journalArticle

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Abstract

We demonstrate that some chaotic parameter subsets of a class of spatiotemporal chaotic systems modeled by globally coupled maps are riddled. That is, for every point in the chaotic parameter subset, there are parameter values arbitrarily nearby that lead to nonchaotic attractors. A consequence is an extremely sensitive parameter dependence characterized by a significant probability of error in numerical computation of asymptotic attractors, regardless of the precision with which parameters are specified.

Original languageEnglish
Pages (from-to)1640-1643
Number of pages4
JournalPhysical Review Letters
Volume72
Issue number11
DOIs
Publication statusPublished - 14 Mar 1994

Keywords

  • fat fractals
  • large numbers
  • maps
  • intermittency
  • attractors
  • dimension
  • limit
  • law

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