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

^*Corresponding author for this work

Arizona State University
Montclair State University
Naval Research Laboratory

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

43 Scopus citations

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
Article number	026210
Pages (from-to)	262101-2621017
Number of pages	2358917
Journal	Physical Review E
Volume	67
Issue number	2 2
State	Published - Feb 2003
Externally published	Yes

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.",

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AU - Lai, Ying Cheng

AU - Liu, Zonghua

AU - Billings, Lora

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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.

UR - https://www.scopus.com/pages/publications/0038057925

M3 - 文章

AN - SCOPUS:0038057925

SN - 2470-0045

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JO - Physical Review E

JF - Physical Review E

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M1 - 026210

ER -

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

Abstract

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