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

^*此作品的通讯作者

Arizona State University
United States Naval Academy

科研成果: 期刊稿件 › 文章 › 同行评审

10 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	219-232
页数	14
期刊	Chaos, Solitons and Fractals
卷	15
期	2
DOI	https://doi.org/10.1016/S0960-0779(02)00094-2
出版状态	已出版 - 1月 2003
已对外发布	是

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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",

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M3 - 文章

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

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