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 journalArticleResearchpeer-review

35 Citations (Scopus)

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 languageEnglish
Article number026210
Pages (from-to)262101-2621017
Number of pages2358917
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume67
Issue number2 2
StatePublished - 1 Feb 2003

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Random Dynamical Systems
dynamical systems
chaos
Attractor
Chaos
Unstable
saddles
Nonlinear Dynamical Systems
Saddle
Lyapunov Exponent
exponents

Cite this

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Noise-induced unstable dimension variability and transition to chaos in random dynamical systems. / Lai, Ying Cheng; Liu, Zonghua; Billings, Lora; Schwartz, Ira B.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 67, No. 2 2, 026210, 01.02.2003, p. 262101-2621017.

Research output: Contribution to journalArticleResearchpeer-review

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