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RISStochastic Averaging of Quasi Integrable and Resonant Hamiltonian Systems Under Combined Gaussian and Poisson White Noise Excitations
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A stochastic averaging method for quasiintegrable and resonant Hamiltonian systems subject to combined Gaussian and Poisson white noise excitations is proposed. The case of resonance with خ± resonant relations is considered. ...
The Stochastic Response of a Class of Impact Systems Calculated by a New Strategy Based on Generalized Cell Mapping Method
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, a new strategy based on generalized cell mapping (GCM) method will be introduced to investigate the stochastic response of a class of impact systems. Significant difference of the proposed procedure lies in ...
The Estimates of the Mean First Exit Time of a Bistable System Excited by Poisson White Noise
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We propose a method to find an approximate theoretical solution to the mean first exit time (MFET) of a one-dimensional bistable kinetic system subjected to additive Poisson white noise, by extending an earlier method used ...