The mean first-passage time for an asymmetric bistable system driven by multiplicative colored and additive white noise with a correlated noise

Zhang Na-Min; Xu Wei; Wang Chao-Qing

doi:10.7498/aps.56.5083

Abstract
We investigated the effects of asymmetry of the potential and noises on the mean first-passage time (MFPT) in two opposite directions in an asymmetric bistable system subjected to multiplicative colored and additive white noise with a correlated noise. The expression of the stationary probability distribution is obtained by means of an extended unified colored-noise approximation and the expressions of the MFPTs are derived through the steepest-descent approach. Numerical results show that the influence of the asymmetry coefficient r on T± is different and because of the correlated noise，even for r=0, T+(xs1→xs2,r) is not equal to T-(xs2→xs1,r). The curves of　lnT± versus r in both cases have mono-valleys but the mono-valleys move to the opposite directions with increasing correlation intensity λ.

Keywords:
mean first-passage time /

asymmetric bistable system /

multiplicative colored noise /

additive white noise
Authors and contacts
Zhang Na-Min,

Xu Wei,

Wang Chao-Qing

1.
西北工业大学应用数学系,西安 710072
References

Cited By

[1]	Wang Ye-Hua, He Mei-Juan. Stochastic resonance in asymmetric bistable coupled network systems driven by Gaussian colored noise. Acta Physica Sinica, 2022, 71(19): 190501. doi: 10.7498/aps.71.20220909
[2]	. Residence-times distribution function of bistable systemsubjected to noise recycling. Acta Physica Sinica, 2020, (): . doi: 10.7498/aps.69.20191752
[3]	Wu Ya-Zhen, Sun Zhong-Kui. Residence-times distribution function in asymmetric bistable system driven by noise recycling. Acta Physica Sinica, 2020, 69(12): 120501. doi: 10.7498/aps.69.20201752
[4]	Yang Xiu-Ni, Yang Yun-Feng. Vibrational resonance in an asymmetric bistable system with time-delay feedback. Acta Physica Sinica, 2015, 64(7): 070507. doi: 10.7498/aps.64.070507
[5]	Jiao Shang-Bin, Yang Rong, Zhang Qing, Xie Guo. Stochastic resonance of asymmetric bistable system with α stable noise. Acta Physica Sinica, 2015, 64(2): 020502. doi: 10.7498/aps.64.020502
[6]	Yue Xiao-Le, Xu Wei, Zhang Ying, Wang Liang. Stochastic response of smooth and discontinuous oscillator under additive and multiplicative Poisson white noise excitation. Acta Physica Sinica, 2014, 63(6): 060502. doi: 10.7498/aps.63.060502
[7]	Shi Pei-Ming, Li Pei, Han Dong-Ying. Steady-state analysis of a tristable system driven by a correlated multiplicative and an additive colored noises. Acta Physica Sinica, 2014, 63(17): 170504. doi: 10.7498/aps.63.170504
[8]	Li Bei, Jin Yan-Fei. The mean first-passage time for piecewise nonlinear system driven by colored correlated additive and multiplicative colored noises. Acta Physica Sinica, 2013, 62(15): 150503. doi: 10.7498/aps.62.150503
[9]	Gu Ren-Cai, Xu Yong, Zhang Hui-Qing, Sun Zhong-Kui. Phase transitions and the mean first passage time of an asymmetric bistable system with non-Gaussian Lvy noise. Acta Physica Sinica, 2011, 60(11): 110514. doi: 10.7498/aps.60.110514
[10]	Zhang Jing-Jing, Jin Yan-Fei. Mean first-passage time and stochastic resonance in an asymmetric bistable system driven by non-Gaussian noise. Acta Physica Sinica, 2011, 60(12): 120501. doi: 10.7498/aps.60.120501
[11]	He Cheng-Di, Xu Wei, Yue Xiao-Le. The mean first-passage time in a mono-stable system driven by uncorrelated noises. Acta Physica Sinica, 2010, 59(8): 5276-5280. doi: 10.7498/aps.59.5276
[12]	Wang Bing, Wu Xiu-Qing, Shao Ji-Hong. The mean first-passage time for an asymmetric bistable system driven by two colored noises. Acta Physica Sinica, 2009, 58(3): 1391-1395. doi: 10.7498/aps.58.1391
[13]	Zhao Yan, Xu Wei, Zou Shao-Cun. The steady state probability distribution and mean first passage time of FHN neural system driven by non-Gaussian noise. Acta Physica Sinica, 2009, 58(3): 1396-1402. doi: 10.7498/aps.58.1396
[14]	Wang Bing, Yan Shao-Ping, Wu Xiu-Qing. Effects of cross correlated noises on the mean first-passage time of optical bistable system. Acta Physica Sinica, 2009, 58(8): 5191-5195. doi: 10.7498/aps.58.5191
[15]	Wang Chao-Qing, Xu Wei, Zhang Na-Min, Li Hai-Quan. Fitz hugh-nagumo neural system driven by colored noises. Acta Physica Sinica, 2008, 57(2): 749-755. doi: 10.7498/aps.57.749
[16]	Zhou Bing-Chang, Xu Wei. Stochastic resonance in an asymmetric bistable system driven by correlated noise. Acta Physica Sinica, 2008, 57(4): 2035-2040. doi: 10.7498/aps.57.2035
[17]	Zhou Bing-Chang, Xu Wei. Stochastic resonance in an asymmetric bistable system driven by mixed periodic force and noises. Acta Physica Sinica, 2007, 56(10): 5623-5628. doi: 10.7498/aps.56.5623
[18]	Dong Xiao-Juan. Stochastic resonance in an asymmetric bistable system with time-delayed feedback and correlated noises. Acta Physica Sinica, 2007, 56(10): 5618-5622. doi: 10.7498/aps.56.5618
[19]	Ning Li-Juan, Xu Wei, Yang Xiao-Li. The mean first-passage time for an asymmetric bistable system driven by multiplicative and additive noise with colored correlations. Acta Physica Sinica, 2007, 56(1): 25-29. doi: 10.7498/aps.56.25
[20]	Jin Yan-Fei, Xu Wei, Ma Shao-Juan, Li Wei. The mean first-passage time for an asymmetric bistable system driven by multiplicative and additive noise. Acta Physica Sinica, 2005, 54(8): 3480-3485. doi: 10.7498/aps.54.3480

Catalog

Vol. 56, Issue 9 - 2007-05-05

Metrics

Abstract views: 7989
PDF Downloads: 940
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

The mean first-passage time for an asymmetric bistable system driven by multiplicative colored and additive white noise with a correlated noise

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

The mean first-passage time for an asymmetric bistable system driven by multiplicative colored and additive white noise with a correlated noise

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About