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Chin. Phys. B, 2009, Vol. 18(5): 1725-1730    DOI: 10.1088/1674-1056/18/5/002
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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)
College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou 310018, China
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.
Keywords:  stochastic resonance      bistable system      control  
Received:  20 September 2008      Revised:  08 November 2008      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.40.Ca (Noise)  
  02.50.Ey (Stochastic processes)  
  02.50.Cw (Probability theory)  
  02.60.Cb (Numerical simulation; solution of equations)  
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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