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Nonlinear stochastic dynamics: A survey of recent developments
Authors:Zhu Weiqiu  Cai Guoqiang
Institution:(1) Department of Mechanics, Zhejiang University, 310027 Hangzhou, China;(2) Center for Applied Stochastics Research, Florida Atlantic University, 33431 Boca Raton, FL, USA
Abstract:This paper provides an overview of significant advances in nonlinear stochastic dynamics during the past two decades, including random response, stochastic stability, stochastic bifurcation, first passage problem and nonlinear stochastic control. Topics for future research are also suggested. The project supported by the National Natural Science Foundation of China (19972059)
Keywords:nonlinear system  random vibration  stochastic stability  stochastic bifurcation  first passage problem
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