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Numerical simulation for a Duffing oscillator driven by colored noise using nonstandard difference scheme

✍ Scribed by Wen-Xian Xie; Li Cai; Wei Xu


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
634 KB
Volume
373
Category
Article
ISSN
0378-4371

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✦ Synopsis


The present paper is devoted to the numerical solution of the Fokker-Planck (FP) equation associated to the Duffing oscillator driven by colored noise. We propose an improved discretization of the standard FP operator-splitting method which renders the scheme unconditionally stable. This scheme is successfully applied to explore the influence of the colored noise on the probability density.