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 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.

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

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Invariant Set
Nonlinear Partial Differential Equations
partial differential equations
Chaotic System
Coupled System
Nonlinear Dynamics
chaos
synchronism
Phase Space
Chaos
High-dimensional
Observation
Class

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics

Cite this

Low-dimensional chaos in high-dimensional phase space : How does it occur? / Lai, Ying-Cheng; Bollt, Erik M.; Liu, Zonghua.

In: Chaos, Solitons and Fractals, Vol. 15, No. 2, 01.2003, p. 219-232.

Research output: Contribution to journalArticle

Lai, Ying-Cheng ; Bollt, Erik M. ; Liu, Zonghua. / Low-dimensional chaos in high-dimensional phase space : How does it occur?. In: Chaos, Solitons and Fractals. 2003 ; Vol. 15, No. 2. pp. 219-232.
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