中国物理B ›› 2009, Vol. 18 ›› Issue (5): 1725-1730.doi: 10.1088/1674-1056/18/5/002

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Control of stochastic resonance in bistable system by using periodic signal

林敏, 方利民, 郑永军   

  1. College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou 310018, China
  • 收稿日期:2008-09-20 修回日期:2008-11-08 出版日期:2009-05-20 发布日期:2009-05-20
  • 基金资助:
    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).

Control of stochastic resonance in bistable systems by using periodic signals

Lin Min(林敏)†, Fang Li-Min(方利民), and Zheng Yong-Jun(郑永军)   

  1. College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou 310018, China
  • Received:2008-09-20 Revised:2008-11-08 Online:2009-05-20 Published:2009-05-20
  • Supported by:
    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).

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摘要： 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.

关键词: stochastic resonance, bistable system, control

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.

Key words: stochastic resonance, bistable system, control

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.40.Ca (Noise) 02.50.Ey (Stochastic processes) 02.50.Cw (Probability theory) 02.60.Cb (Numerical simulation; solution of equations)