Multiplicative non-Gaussian noise and additive Gaussian white noise induced transition in a piecewise nonlinear model

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• 作者：Bei Xi ; Yong-Feng Guo ; ^{guoyongfeng@mail.nwpu.edu.cn} ; Ya-Jun Shen ; Jian-Guo Tan ; Ming Liu
• 关键词：Piecewise nonlinear model ; Non-Gaussian noise ; Steady-state probability density function ; Noise-induced transition
• 刊名：Chinese Journal of Physics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：55
• 期：1
• 页码：1-9
• 全文大小：999 K
• 卷排序：55

文摘

We studied the steady-state characteristics of a piecewise nonlinear model. The model driven by multiplicative non-Gaussian noise and additive white noise.  The exact expression of the steady-state probability density function is derived. We obtained some new nonlinear phenomena. It is found that the system parameters can induce the transition.