HOMOCLINC BIFURCATIONS AND CHAOS IN A DUFFING VIBRO-IMPACT OSCILLATOR UNDER HARMONIC AND BOUNDED NOI

来源 :The Third International Conference on Dynamics,Vibration and | 被引量 : 0次 | 上传用户：l13633332021

【摘要】

：

【作者】

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J.Q.Feng W.Xu

【机构】

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Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710072,China

【出处】

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The Third International Conference on Dynamics,Vibration and

【发表日期】

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2010年4期

【关键词】

：

Duffing vibro-impact oscillator bounded noise stochastic Melnikov's method

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　　In this paper, homoclinic bifurcations and chaos in a double well Duffing vibro-impact oscillator under harmonic and bounded noise excitations are investigated.Melnikovs method in the deterministic vibro-impact system is extended to the analysis of homoclinic bifurcations and chaos in the stochastic case.The analytic conditions for occurrence of chaos are derived by using the stochastic Melnikov process in the mean-square-value sense.In addition, the numerical simulations confirm the validity of analytic results.Also, the influence of some system parameters on the threshold of chaos is studied.

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HOMOCLINC BIFURCATIONS AND CHAOS IN A DUFFING VIBRO-IMPACT OSCILLATOR UNDER HARMONIC AND BOUNDED NOI

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