First-passage time statistics in a bistable system subject to Poisson white noise by the generalized cell mapping method
First-passage time statistics in a bistable system subject to Poisson white noise by the generalized cell mapping method
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DOI：
10.1016/j.cnsns.2014.11.009
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发表时间：
2015-06
期刊：
影响因子：
--
通讯作者：
Qun Han;Wei Xu;Xiaole Yue;Ying Zhang
中科院分区：
文献类型：
--
作者：
Qun Han;Wei Xu;Xiaole Yue;Ying Zhang
利用广义胞映射方法，研究了泊松白色噪声作用下的混沌系统的首次穿越时间统计特性。通过分析双势阱中的运动和相空间中的全局动力学，得到了二阶非线性系统首次穿越时间统计的近似解。研究了对称和非对称两种情况，分别讨论了噪声强度和脉冲平均到达率对首次通过时间统计量的影响。结果表明，泊松白色噪声激励对首次穿越时间的影响与高斯噪声激励的影响有很大的不同。在相同的噪声强度下，泊松白色噪声可以使第一通道更快。
The first-passage time statistics in a bistable system subject to Poisson white noise is studied by using the generalized cell mapping method. Specifically, an approximate solution for the first-passage time statistics in a second-order bistable system is developed by analyzing the motions in double-well potential and the global dynamics in phase space. Both symmetric and asymmetric cases have been investigated, and the effects of noise intensity and mean arrival rate of impulse on the first-passage time statistics are discussed respectively. It shows that the effect of Poisson white noise excitation on the first-passage time is quite different from that of the Gaussian one. With the same noise intensity, Poisson white noise can make for a faster first-passage.