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.
Received: 29 September 2004
Revised: 02 March 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10472091and 10332030) and by NSF of Shaanxi Province.
Cite this article:
Xu Wei (徐伟), Jin Yan-Fei (靳艳飞), Li Wei (李伟), Ma Shao-Juan (马少娟) Stochastic resonance in an asymmetric bistable system driven by multiplicative and additive noise 2005 Chinese Physics 14 1077
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