Transition to chaos in continuous-time random dynamical systems

Zonghua Liu, Ying Cheng Lai, Lora Billings, Ying-Cheng Lai

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24 Scopus citations


A continuous-time dynamical system in which a nonchaotic attractor coexists with a nonattracting chaotic saddle, was discussed. The fundamental dynamical mechanism responsible for the transition was investigated. A general scaling low for the largest Lyapunov exponent, was obtained. The topology of the flow was fundamentally disturbed after the onset of noisy chaos. It was found that such a disturbance was due to changes in the number of unstable eigendirections along a continuous trajectory under the influence of noise.

Original languageEnglish (US)
Article number124101
Pages (from-to)1241011-1241014
Number of pages4
JournalPhysical Review Letters
Issue number12
StatePublished - Mar 25 2002

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    Liu, Z., Lai, Y. C., Billings, L., & Lai, Y-C. (2002). Transition to chaos in continuous-time random dynamical systems. Physical Review Letters, 88(12), 1241011-1241014. [124101].