Transition to chaos in continuous-time random dynamical systems

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

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

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)
Pages (from-to)1241011-1241014
Number of pages4
JournalPhysical Review Letters
Volume88
Issue number12
StatePublished - Mar 25 2002

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saddles
dynamical systems
chaos
disturbances
topology
trajectories
exponents
scaling

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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.

Transition to chaos in continuous-time random dynamical systems. / Liu, Zonghua; Lai, Ying Cheng; Billings, Lora; Lai, Ying-Cheng.

In: Physical Review Letters, Vol. 88, No. 12, 25.03.2002, p. 1241011-1241014.

Research output: Contribution to journalArticle

Liu, Z, Lai, YC, Billings, L & Lai, Y-C 2002, 'Transition to chaos in continuous-time random dynamical systems', Physical Review Letters, vol. 88, no. 12, pp. 1241011-1241014.
Liu Z, Lai YC, Billings L, Lai Y-C. Transition to chaos in continuous-time random dynamical systems. Physical Review Letters. 2002 Mar 25;88(12):1241011-1241014.
Liu, Zonghua ; Lai, Ying Cheng ; Billings, Lora ; Lai, Ying-Cheng. / Transition to chaos in continuous-time random dynamical systems. In: Physical Review Letters. 2002 ; Vol. 88, No. 12. pp. 1241011-1241014.
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