中国物理B ›› 2006, Vol. 15 ›› Issue (12): 2867-2871.doi: 10.1088/1009-1963/15/12/017

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Parameter-induced stochastic resonance with a periodic signal

徐博侯1, 李建龙2   

  1. (1)Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China; (2)Institute of Information and Communication Engineering, Zhejiang University, Hangzhou, 310027, China
  • 收稿日期:2006-03-22 修回日期:2006-05-15 出版日期:2006-12-20 发布日期:2006-12-20
  • 基金资助:
    Project supported by the Natural Science Foundation of China (Key Grant No 10332030) and the National 973 Project of China (Grant No 5132103ZZT21B).

Parameter-induced stochastic resonance with a periodic signal

Li Jian-Long(李建龙)a)† and Xu Bo-Hou(徐博侯)b)   

  1. a Institute of Information and Communication Engineering, Zhejiang University, Hangzhou, 310027, China; b Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China
  • Received:2006-03-22 Revised:2006-05-15 Online:2006-12-20 Published:2006-12-20
  • Supported by:
    Project supported by the Natural Science Foundation of China (Key Grant No 10332030) and the National 973 Project of China (Grant No 5132103ZZT21B).

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摘要： In this paper conventional stochastic resonance (CSR) is realized by adding the noise intensity. This demonstrates that tuning the system parameters with fixed noise can make the noise play a constructive role and realize parameter-induced stochastic resonance (PSR). PSR can be interpreted as changing the intrinsic characteristic of the dynamical system to yield the cooperative effect between the stochastic-subjected nonlinear system and the external periodic force. This can be realized at any noise intensity, which greatly differs from CSR that is realized under the condition of the initial noise intensity not greater than the resonance level. Moreover, it is proved that PSR is different from the optimization of system parameters.

关键词: tuning parameters, stochastic resonance, signal-to-noise ratio

Abstract: In this paper conventional stochastic resonance (CSR) is realized by adding the noise intensity. This demonstrates that tuning the system parameters with fixed noise can make the noise play a constructive role and realize parameter-induced stochastic resonance (PSR). PSR can be interpreted as changing the intrinsic characteristic of the dynamical system to yield the cooperative effect between the stochastic-subjected nonlinear system and the external periodic force. This can be realized at any noise intensity, which greatly differs from CSR that is realized under the condition of the initial noise intensity not greater than the resonance level. Moreover, it is proved that PSR is different from the optimization of system parameters.

Key words: tuning parameters, stochastic resonance, signal-to-noise ratio

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
02.50.-r (Probability theory, stochastic processes, and statistics) 05.40.Ca (Noise)