Fractal basin boundaries in coupled map lattices

Ying Cheng Lai, Raimind L. Winslow

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

It has been suggested that spatiotemporal dynamical systems cannot exhibit fractal basin boundaries, as interactions among chaotic elements at different spatial sites may destroy fine scale phase-space structures. We present evidence of an extreme type of fractal basin boundary in spatiotemporal chaotic systems modeled by globally coupled, two-dimensional maps. The existence of fractal basin boundaries for these systems indicates an extreme sensitive dependence of asymptotic attractors on both initial conditions and parameters.

Original languageEnglish (US)
Pages (from-to)3470-3473
Number of pages4
JournalPhysical Review E
Volume50
Issue number5
DOIs
StatePublished - Jan 1 1994
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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