Stochastic response analysis of noisy system with non-negative real-power restoring force by generalized cell mapping method  

作　　者：Qun HAN Wei XU Xiaole YUE 

机构地区：[1]Department of Applied Mathematics,Northwestern Polytechnical University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2015年第3期329-336,共8页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11172233,11302169,11302170,and 11472212);the Fundamental Research Funds for the Central Universities(No.3102014JCQ01079)

摘　　要：The stochastic response of a noisy system with non-negative restoring force is investigated. The generalized cell mapping （GCM） method compute the transient and stationary probability density functions （PDFs） real-power is used to Combined with the global properties of the noise-free system, the evolutionary process of the tran- sient PDFs is revealed. The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.The stochastic response of a noisy system with non-negative restoring force is investigated. The generalized cell mapping （GCM） method compute the transient and stationary probability density functions （PDFs） real-power is used to Combined with the global properties of the noise-free system, the evolutionary process of the tran- sient PDFs is revealed. The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.

关 键 词：stochastic response probability density function （PDF） generalized cell mapping （GCM） method real-power restoring force bifurcation 

分 类 号：O324[理学—一般力学与力学基础]