Abstract According to the characteristic structure of double wells in bistable systems, this paper analyses stochastic fluctuations in the single potential well and probability transitions between the two potential wells and proposes a method of controlling stochastic resonance by using a periodic signal. Results of theoretical analysis and numerical simulation show that the phenomenon of stochastic resonance happens when the time scales of the periodic signal and the noise-induced probability transitions between the two potential wells achieve stochastic synchronization. By adding a bistable system with a controllable periodic signal, fluctuations in the single potential well can be effectively controlled, thus affecting the probability transitions between the two potential wells. In this way, an effective control can be achieved which allows one to either enhance or realize stochastic resonance.
Received: 20 September 2008
Revised: 08 November 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 50675214) and Natural
Science Foundation of Zhejiang
Province of China (Grant No Y7080111).
Cite this article:
Lin Min(林敏), Fang Li-Min(方利民), and Zheng Yong-Jun(郑永军) Control of stochastic resonance in bistable systems by using periodic signals 2009 Chin. Phys. B 18 1725
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