First-passage time statistics in a bistable system subject to Poisson white noise by the generalized cell mapping method

被引：31

作者：

Han, Qun ^{[1
]}

Xu, Wei ^{[1
]}

Yue, Xiaole ^{[1
]}

Zhang, Ying ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 23卷 / 1-3期

基金：

中国国家自然科学基金;

关键词：

First-passage time statistics; Bistable system; Generalized cell mapping method; Poisson white noise; DUFFING OSCILLATOR; STOCHASTIC BIFURCATION; DYNAMICAL-SYSTEMS; COLORED NOISES; EXCITATIONS; DRIVEN; PROBABILITY; FAILURE; CRISES;

D O I：

10.1016/j.cnsns.2014.11.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：220 / 228

页数：9

共 45 条

[1] Mean first-passage time of general bistable systems driven by white noise excitations
Li, X. P.
Wei, D. M.
Ying, Z. G.
MECHANICS RESEARCH COMMUNICATIONS, 2009, 36 (04) : 531 - 536
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[3] The mean first-passage time for an asymmetric bistable system driven by multiplicative and additive noise
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Li, W
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[4] Mean first-passage time of a bistable kinetic model driven by multiplicative coloured noise and additive white noise
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Mei, DC
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[5] Mean first-passage time of an asymmetric bistable system driven by colour-correlated noise
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[6] First-passage time of an inverted pendulum subject to high frequency harmonic and Gaussian white noise excitations
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[8] Moments and mean first-passage time of parabolic-bistable potential system driven by colored noise
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Cao, L
Ke, SZ
Wu, DJ
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[9] The Estimates of the Mean First Exit Time of a Bistable System Excited by Poisson White Noise
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[10] Mean first-passage time and stochastic resonance in an asymmetric bistable system driven by non-Gaussian noise
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