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

Ying Cheng Lai; Erik M. Bollt; Zonghua Liu

doi:10.1016/S0960-0779(02)00094-2

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

Ying Cheng Lai^*
, Erik M. Bollt
, Zonghua Liu

^*Corresponding author for this work

Arizona State University
United States Naval Academy

Research output: Contribution to journal › Article › peer-review

10 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 language	English
Pages (from-to)	219-232
Number of pages	14
Journal	Chaos, Solitons and Fractals
Volume	15
Issue number	2
DOIs	https://doi.org/10.1016/S0960-0779(02)00094-2
State	Published - Jan 2003
Externally published	Yes

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title = "Low-dimensional chaos in high-dimensional phase space: How does it occur?",

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.",

author = "Lai, \{Ying Cheng\} and Bollt, \{Erik M.\} and Zonghua Liu",

year = "2003",

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AU - Lai, Ying Cheng

AU - Bollt, Erik M.

AU - Liu, Zonghua

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Y1 - 2003/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0242367511

U2 - 10.1016/S0960-0779(02)00094-2

DO - 10.1016/S0960-0779(02)00094-2

M3 - 文章

AN - SCOPUS:0242367511

SN - 0960-0779

VL - 15

SP - 219

EP - 232

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 2

ER -

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

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