Random disordered periodic induced chaos in discontinuous systems

来源 :The 5th International Conference on Dynamics, Vibration and | 被引量 : 0次 | 上传用户:risk
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  In this paper,we extended the random Melnikov method for the stochastic driven systems with continuous vector field to the discontinuous systems driven by a random disordered periodic under the assumption that the unperturbed system is a piecewise Hamiltonian system By measuring the distance of the perturbed stable and unstable manifolds,the nonsmooth random Melnikov process can be derived in detail,and then the mean-square criterion of the onset of chaos is established in statisticals sense.
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