Noise-induced unstable dimension variability and transition to chaos in random dynamical systems

Ying Cheng Lai; Zonghua Liu; Lora Billings; Ira B. Schwartz

Noise-induced unstable dimension variability and transition to chaos in random dynamical systems

Ying Cheng Lai^*
, Zonghua Liu
, Lora Billings
, Ira B. Schwartz

^*此作品的通讯作者

Arizona State University
Montclair State University
Naval Research Laboratory

科研成果: 期刊稿件 › 文章 › 同行评审

43 引用（Scopus）

摘要

The transition to chaos in random dynamical systems was studied. The situations were considered where a periodic attractor coexisted with a nonattracting chaotic saddle, which could be expected in any periodic window of a nonlinear dynamical system. The asymptotic attractor of the system could become chaotic under noise, as characterized by the appearance of a positive Lyapunov exponent.

源语言	英语
期刊论文编号	026210
页（从-至）	262101-2621017
页数	2358917
期刊	Physical Review E
卷	67
期	2 2
出版状态	已出版 - 2月 2003
已对外发布	是

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AB - The transition to chaos in random dynamical systems was studied. The situations were considered where a periodic attractor coexisted with a nonattracting chaotic saddle, which could be expected in any periodic window of a nonlinear dynamical system. The asymptotic attractor of the system could become chaotic under noise, as characterized by the appearance of a positive Lyapunov exponent.

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M3 - 文章

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Noise-induced unstable dimension variability and transition to chaos in random dynamical systems

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