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 journalArticle

35 Scopus citations


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


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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