Mean first-passage time for an asymmetric bistable system driven by multiplicative and additive noise

Yan Fei Jin; Wei Xu; Shao Juan Ma; Wei Li

Mean first-passage time for an asymmetric bistable system driven by multiplicative and additive noise

Yan Fei Jin^*, Wei Xu, Shao Juan Ma, Wei Li

^*Corresponding author for this work

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

Abstract

In this paper, the effects of asymmetry of the potential on the mean first-passage times (MFPTs) in two opposite directions are investigated in an asymmetric bistable system driven by multiplicative noise and additive noise. We find that the MFPTs in two opposite directions are no longer symmetric in an asymmetric bistable system. Furthermore, we calculate the MFPTs of an asymmetric Duffing model. Numerical results show that: (1) The MFPTs depend on the initial states in the asymmetric bistable system, namely, T₊(x_s1→x_s2) is not equal to T_-(x_s2→x_s1). (2) The effects of noise intensity on the MFPTs T₊(s_s1→x_s2) and T_- (x_s2x_s1) are different in the same kind of parameter plane. There exists a peak on each of the curves of lnT_- versus D, as well as the 'resonant activation', while the variation of lnT₊ versus D is monotonic. (3) The influence of the asymmetry coefficient r on T_± is entirely different. The curves of 1nT_- versus r have mono-valleys but the variation of In T₊ versus r is monotonically rising.

Original language	English
Pages (from-to)	3480-3485
Number of pages	6
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	54
Issue number	8
Publication status	Published - Aug 2005
Externally published	Yes

Keywords

Additive noise
Asymmetric bistable system
Mean first-passage time
Multiplicative noise

Cite this

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title = "Mean first-passage time for an asymmetric bistable system driven by multiplicative and additive noise",

abstract = "In this paper, the effects of asymmetry of the potential on the mean first-passage times (MFPTs) in two opposite directions are investigated in an asymmetric bistable system driven by multiplicative noise and additive noise. We find that the MFPTs in two opposite directions are no longer symmetric in an asymmetric bistable system. Furthermore, we calculate the MFPTs of an asymmetric Duffing model. Numerical results show that: (1) The MFPTs depend on the initial states in the asymmetric bistable system, namely, T+(xs1→xs2) is not equal to T-(xs2→xs1). (2) The effects of noise intensity on the MFPTs T+(ss1→xs2) and T- (xs2xs1) are different in the same kind of parameter plane. There exists a peak on each of the curves of lnT- versus D, as well as the 'resonant activation', while the variation of lnT+ versus D is monotonic. (3) The influence of the asymmetry coefficient r on T± is entirely different. The curves of 1nT- versus r have mono-valleys but the variation of In T+ versus r is monotonically rising.",

keywords = "Additive noise, Asymmetric bistable system, Mean first-passage time, Multiplicative noise",

author = "Jin, {Yan Fei} and Wei Xu and Ma, {Shao Juan} and Wei Li",

year = "2005",

month = aug,

language = "English",

volume = "54",

pages = "3480--3485",

journal = "Wuli Xuebao/Acta Physica Sinica",

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T1 - Mean first-passage time for an asymmetric bistable system driven by multiplicative and additive noise

AU - Jin, Yan Fei

AU - Xu, Wei

AU - Ma, Shao Juan

AU - Li, Wei

PY - 2005/8

Y1 - 2005/8

N2 - In this paper, the effects of asymmetry of the potential on the mean first-passage times (MFPTs) in two opposite directions are investigated in an asymmetric bistable system driven by multiplicative noise and additive noise. We find that the MFPTs in two opposite directions are no longer symmetric in an asymmetric bistable system. Furthermore, we calculate the MFPTs of an asymmetric Duffing model. Numerical results show that: (1) The MFPTs depend on the initial states in the asymmetric bistable system, namely, T+(xs1→xs2) is not equal to T-(xs2→xs1). (2) The effects of noise intensity on the MFPTs T+(ss1→xs2) and T- (xs2xs1) are different in the same kind of parameter plane. There exists a peak on each of the curves of lnT- versus D, as well as the 'resonant activation', while the variation of lnT+ versus D is monotonic. (3) The influence of the asymmetry coefficient r on T± is entirely different. The curves of 1nT- versus r have mono-valleys but the variation of In T+ versus r is monotonically rising.

AB - In this paper, the effects of asymmetry of the potential on the mean first-passage times (MFPTs) in two opposite directions are investigated in an asymmetric bistable system driven by multiplicative noise and additive noise. We find that the MFPTs in two opposite directions are no longer symmetric in an asymmetric bistable system. Furthermore, we calculate the MFPTs of an asymmetric Duffing model. Numerical results show that: (1) The MFPTs depend on the initial states in the asymmetric bistable system, namely, T+(xs1→xs2) is not equal to T-(xs2→xs1). (2) The effects of noise intensity on the MFPTs T+(ss1→xs2) and T- (xs2xs1) are different in the same kind of parameter plane. There exists a peak on each of the curves of lnT- versus D, as well as the 'resonant activation', while the variation of lnT+ versus D is monotonic. (3) The influence of the asymmetry coefficient r on T± is entirely different. The curves of 1nT- versus r have mono-valleys but the variation of In T+ versus r is monotonically rising.

KW - Additive noise

KW - Asymmetric bistable system

KW - Mean first-passage time

KW - Multiplicative noise

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SN - 1000-3290

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JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

IS - 8

ER -

Mean first-passage time for an asymmetric bistable system driven by multiplicative and additive noise

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Keywords

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