Stochastic resonance in an asymmetric bistable system driven by multiplicative and additive noise

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

doi:10.1088/1009-1963/14/6/004

Stochastic resonance in an asymmetric bistable system driven by multiplicative and additive noise

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

^*Corresponding author for this work

Northwestern Polytechnical University Xian

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

33 Citations (Scopus)

Abstract

The phenomenon of stochastic resonance (SR) in a bistable system driven by multiplicative and additive white noises and a periodic rectangular signal with a constant component is studied according to the theory of signal-to-noise ratio (SNR) in the adiabatic limit. The analytic expression of the SNR is obtained for arbitrary signal amplitude without being restricted to small amplitudes. We find that the effects of the multiplicative noise intensity D and additive noise intensity α on SNR are different: the SNR-α curve shows SR for almost the whole range of static asymmetry r, but the SNR-D curve only displays SR for some values of static asymmetry r. It is more sensitive to control SR through adjusting the additive noise intensity α than adjusting the multiplicative noise intensity D, when the asymmetry of bistable potential r is not too large. Moreover, the static asymmetry r decreases the SNR.

Original language	English
Pages (from-to)	1077-1081
Number of pages	5
Journal	Chinese Physics
Volume	14
Issue number	6
DOIs	https://doi.org/10.1088/1009-1963/14/6/004
Publication status	Published - 1 Jun 2005
Externally published	Yes

Keywords

Periodic rectangular signal
Signal-to-noise ratio
Stochastic resonance

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10.1088/1009-1963/14/6/004

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title = "Stochastic resonance in an asymmetric bistable system driven by multiplicative and additive noise",

abstract = "The phenomenon of stochastic resonance (SR) in a bistable system driven by multiplicative and additive white noises and a periodic rectangular signal with a constant component is studied according to the theory of signal-to-noise ratio (SNR) in the adiabatic limit. The analytic expression of the SNR is obtained for arbitrary signal amplitude without being restricted to small amplitudes. We find that the effects of the multiplicative noise intensity D and additive noise intensity α on SNR are different: the SNR-α curve shows SR for almost the whole range of static asymmetry r, but the SNR-D curve only displays SR for some values of static asymmetry r. It is more sensitive to control SR through adjusting the additive noise intensity α than adjusting the multiplicative noise intensity D, when the asymmetry of bistable potential r is not too large. Moreover, the static asymmetry r decreases the SNR.",

keywords = "Periodic rectangular signal, Signal-to-noise ratio, Stochastic resonance",

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

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doi = "10.1088/1009-1963/14/6/004",

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T1 - Stochastic resonance in an asymmetric bistable system driven by multiplicative and additive noise

AU - Xu, Wei

AU - Jin, Yan Fei

AU - Li, Wei

AU - Ma, Shao Juan

PY - 2005/6/1

Y1 - 2005/6/1

N2 - The phenomenon of stochastic resonance (SR) in a bistable system driven by multiplicative and additive white noises and a periodic rectangular signal with a constant component is studied according to the theory of signal-to-noise ratio (SNR) in the adiabatic limit. The analytic expression of the SNR is obtained for arbitrary signal amplitude without being restricted to small amplitudes. We find that the effects of the multiplicative noise intensity D and additive noise intensity α on SNR are different: the SNR-α curve shows SR for almost the whole range of static asymmetry r, but the SNR-D curve only displays SR for some values of static asymmetry r. It is more sensitive to control SR through adjusting the additive noise intensity α than adjusting the multiplicative noise intensity D, when the asymmetry of bistable potential r is not too large. Moreover, the static asymmetry r decreases the SNR.

AB - The phenomenon of stochastic resonance (SR) in a bistable system driven by multiplicative and additive white noises and a periodic rectangular signal with a constant component is studied according to the theory of signal-to-noise ratio (SNR) in the adiabatic limit. The analytic expression of the SNR is obtained for arbitrary signal amplitude without being restricted to small amplitudes. We find that the effects of the multiplicative noise intensity D and additive noise intensity α on SNR are different: the SNR-α curve shows SR for almost the whole range of static asymmetry r, but the SNR-D curve only displays SR for some values of static asymmetry r. It is more sensitive to control SR through adjusting the additive noise intensity α than adjusting the multiplicative noise intensity D, when the asymmetry of bistable potential r is not too large. Moreover, the static asymmetry r decreases the SNR.

KW - Periodic rectangular signal

KW - Signal-to-noise ratio

KW - Stochastic resonance

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U2 - 10.1088/1009-1963/14/6/004

DO - 10.1088/1009-1963/14/6/004

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VL - 14

SP - 1077

EP - 1081

JO - Chinese Physics

JF - Chinese Physics

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ER -

Stochastic resonance in an asymmetric bistable system driven by multiplicative and additive noise

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Keywords

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