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

Ying-Cheng Lai, E M Bollt, Z H Liu

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

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. (C) 2002 Elsevier Science Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)219-232
Number of pages14
JournalChaos, Solitons & Fractals
Volume15
Issue number2
DOIs
Publication statusPublished - Jan 2003

Keywords

  • coupled-oscillator-systems
  • dynamical-systems
  • generalized synchronization
  • hyperchaos transition
  • lag synchronization
  • bifurcation
  • equation
  • scheme
  • orbits
  • motion

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