中国物理B ›› 2005, Vol. 14 ›› Issue (6): 1077-1081.doi: 10.1088/1009-1963/14/6/004

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

徐伟, 靳艳飞, 李伟, 马少娟   

  1. Department of Applied Mathematics, Northwestern Polytechnical University，Xi'an, Shaanxi 710072, China
  • 收稿日期:2004-09-29 修回日期:2005-03-02 出版日期:2005-05-27 发布日期:2005-05-27
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10472091and 10332030) and by NSF of Shaanxi Province.

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

Xu Wei (徐伟), Jin Yan-Fei (靳艳飞), Li Wei (李伟), Ma Shao-Juan (马少娟)   

  1. Department of Applied Mathematics, Northwestern Polytechnical University，Xi'an，Shaanxi 710072, China
  • Received:2004-09-29 Revised:2005-03-02 Online:2005-05-27 Published:2005-05-27
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10472091and 10332030) and by NSF of Shaanxi Province.

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摘要： 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-αcurve 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.

关键词: stochastic resonance, periodic rectangular signal, signal-to-noise ratio

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 $\alpha$ on SNR are different: the SNR-$\alpha$ 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 $\alpha$ 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.

Key words: stochastic resonance, periodic rectangular signal, signal-to-noise ratio

中图分类号:  (Stochastic processes)

  • 02.50.Ey
05.40.Ca (Noise)