Stochastic bifurcations in Duffing-van der Pol oscillator with Lévy stable noise

Ren Cai Gu, Yong Xu, Meng Li Hao, Zhi Qiang Yang

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29 引用 (Scopus)

摘要

This paper aims to investigate the influence of Lévy stable noise on a bistable Duffing-van der Pol oscillator. We obtain the stationary probability density function of amplitude for the Duffing-van der Pol oscillator by use of Monte Carlo method, and analyze the influences of the noise intensity and the stability index on the stationary probability density. Stochastic bifurcations are further discussed though a qualitative change of the stationary probability distribution, which indicates that not only system parameters and noise intensity can be treated as bifurcation parameters, but also the change of the stability index will induce stochastic bifurcations.

源语言英语
文章编号060513
期刊Wuli Xuebao/Acta Physica Sinica
60
6
出版状态已出版 - 6月 2011

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