Stochastic resonance in an asymmetric bistable system driven by correlated noise

Zhou Bing-Chang; Xu Wei

doi:10.7498/aps.57.2035

Abstract
The phenomenon of stochastic resonance (SR) in a bistable system subject to correlated multiplicative colored and additive white noises and a periodic rectangular signal with a constant component is investigated in the unified colored noise approximation and by applying the two-state theory. The expression of the signal-to-noise ratio (SNR) is obtained for arbitrary signal amplitude. The SNR is a non-monotonic function of intensities of multiplicative colored and additive white noises，correlation time of multiplicative colored noise and the strength of the coupling between noises， so SR appears in the bistable system. Meanwhile， it is more effective to control SR through adjusting the additive white noise intensity than adjusting the multiplicative colored noise intensity. Moreover，the effects of potential asymmetry and the strength of the coupling between noises on SNR are opposite.

Keywords:
asymmetric bistable system /

stochastic resonance /

signal-to-noise ratio /

periodic rectangular signal
Authors and contacts
Zhou Bing-Chang,

Xu Wei

1.
西北工业大学应用数学系，西安 710072
References

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[2]	. Residence-times distribution function of bistable systemsubjected to noise recycling. Acta Physica Sinica, 2020, (): . doi: 10.7498/aps.69.20191752
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[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
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[16]	Jin Yan-Fei, Xu Wei, Li Wei, Xu Meng. Stochastic resonance for periodically modulated noise in a linear system. Acta Physica Sinica, 2005, 54(6): 2562-2567. doi: 10.7498/aps.54.2562
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Vol. 57, Issue 4 - 2008-02-20

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