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• W2129647540 abstract "We consider situations where, in a continuous-time dynamical system, a nonchaotic attractor coexists with a nonattracting chaotic saddle, as in a periodic window. Under the influence of noise, chaos can arise. We investigate the fundamental dynamical mechanism responsible for the transition and obtain a general scaling law for the largest Lyapunov exponent. A striking finding is that the topology of the flow is fundamentally disturbed after the onset of noisy chaos, and we point out that such a disturbance is due to changes in the number of unstable eigendirections along a continuous trajectory under the influence of noise." @default.
• W2129647540 created "2016-06-24" @default.
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• W2129647540 date "2002-03-11" @default.
• W2129647540 modified "2023-10-18" @default.
• W2129647540 title "Transition to Chaos in Continuous-Time Random Dynamical Systems" @default.
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• W2129647540 doi "https://doi.org/10.1103/physrevlett.88.124101" @default.
• W2129647540 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/11909463" @default.
• W2129647540 hasPublicationYear "2002" @default.
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