The stochastic response of a noisy system with non-negative real-power restoring force is investigated.The generalized cell mapping(GCM) method is used to compute the transient and stationary probability density functions(PDFs).Combined with the global properties of the noise-free system,the evolutionary process of the transient 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.
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