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

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

Abstract

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.

Original language	English (US)
Article number	026210
Pages (from-to)	262101-2621017
Number of pages	2358917
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	67
Issue number	2 2
State	Published - Feb 2003

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

Cite this

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title = "Noise-induced unstable dimension variability and transition to chaos in random dynamical systems",

abstract = "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.",

author = "Ying-Cheng Lai and Zonghua Liu and Lora Billings and Schwartz, {Ira B.}",

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AU - Lai, Ying-Cheng

AU - Liu, Zonghua

AU - Billings, Lora

AU - Schwartz, Ira B.

PY - 2003/2

Y1 - 2003/2

N2 - 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.

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 - Article

AN - SCOPUS:0038057925

SN - 1063-651X

VL - 67

SP - 262101

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JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

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ER -

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

Abstract

ASJC Scopus subject areas

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