Noise-Induced Chaos in Duffing Oscillator with Double Wells

Stochastic Melnikov method is employed to predict noise-induced chaotic response in the Duffing oscillator with double wells. The safe basin is simulated to show the noise-induced fractal boundary. Three cases are considered: harmonic excitation, both harmonic and Gaussian white noise excitations, a...

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Bibliographic Details
Published inNonlinear dynamics Vol. 45; no. 3-4; pp. 305 - 317
Main Author Gan, Chunbiao
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.08.2006
Subjects
Algorithms
Chaos theory
Computer simulation
Duffing oscillators
Fractals
Harmonic excitation
Noise prediction
White noise
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Summary:Stochastic Melnikov method is employed to predict noise-induced chaotic response in the Duffing oscillator with double wells. The safe basin is simulated to show the noise-induced fractal boundary. Three cases are considered: harmonic excitation, both harmonic and Gaussian white noise excitations, and Gaussian white noise excitation. The leading Lyapunov exponent estimated by Rosenstein's algorithm is shown to quantify the chaotic nature of the sample time series of the system. The results show that the boundary of the safe basin can be fractal even if the system is excited only by external Gaussian white noise.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-005-9008-6