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Stochastic resonance of cascaded bistable duffing system

Lai Zhi-Hui Leng Yong-Gang Fan Sheng-Bo

Stochastic resonance of cascaded bistable duffing system

Lai Zhi-Hui, Leng Yong-Gang, Fan Sheng-Bo
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Publishing process
  • Received Date:  31 October 2012
  • Accepted Date:  15 December 2012
  • Published Online:  05 April 2013

Stochastic resonance of cascaded bistable duffing system

  • 1. School of Mechanical Engineering, Tianjin University, Tianjin 300072, China;
  • 2. Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education, Tianjin University, Tianjin 300072, China;
  • 3. Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 51275336), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20120032110001).

Abstract: The stochastic resonance of cascaded bistable Duffing system (CBDS) has been studied in this paper. We have shown that with the appropriate adjustment of the parameters of the CBDS, such as the scale transformation coefficient, the damping ratio and the number of cascaded systems, the CBDS can not only achieve large or small parameter stochastic resonance, but also optimize the stochastic resonance result of a single bistable Duffing system (SBDS). That is, with the parameter adjustment, the stochastic resonance effect of the CBDS is much better than that of the SBDS. Furthermore, the CBDS has excellent filtering and smoothing characters for a square wave signal, which can be applied to the recovery of the square wave signal masked by heavy noise.

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