Low-dimensional chaos in high-dimensional phase space: How does it occur?

Ying-Cheng Lai, Erik M. Bollt, Zonghua Liu

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

A fundamental observation in nonlinear dynamics is that the asymptotic chaotic invariant sets in many high-dimensional systems are low-dimensional. We argue that such a behavior is typically associated with chaos synchronism. Numerical support using coupled chaotic systems including a class derived from a nonlinear partial differential equation is provided.

Original languageEnglish (US)
Pages (from-to)219-232
Number of pages14
JournalChaos, Solitons and Fractals
Volume15
Issue number2
DOIs
StatePublished - Jan 1 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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