Chaotic dynamics of the vibro-impact system under bounded noise perturbation

Jinqian Feng and Junli Liu

Chaos, Solitons & Fractals, 2015, vol. 73, issue C, 10-16

Abstract: In this paper, chaotic dynamics of the vibro-impact system under bounded noise excitation is investigated by an extended Melnikov method. Firstly, the Melnikov method in the deterministic vibro-impact system is extended to the stochastic case. Then, a typical stochastic Duffing vibro-impact system is given to application. The analytic conditions for occurrence of chaos are derived by using the random Melnikov process in the mean-square-value sense. In addition, the numerical simulations confirm the validity of analytic results. Also, the influences of interesting system parameters on the chaotic dynamics are discussed.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:73:y:2015:i:c:p:10-16

DOI: 10.1016/j.chaos.2015.01.003

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