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Large parameter stochastic resonance of two-dimensional Duffing oscillator and its application on weak signal detection

Leng Yong-Gang Lai Zhi-Hui Fan Sheng-Bo Gao Yu-Ji

Large parameter stochastic resonance of two-dimensional Duffing oscillator and its application on weak signal detection

Leng Yong-Gang, Lai Zhi-Hui, Fan Sheng-Bo, Gao Yu-Ji
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  • Received Date:  23 February 2012
  • Accepted Date:  19 June 2012
  • Published Online:  05 December 2012

Large parameter stochastic resonance of two-dimensional Duffing oscillator and its application on weak signal detection

  • 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
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 51275336, 50975202), and the Key Laboratory of Beijing Municipality for Advanced Manufacturing Technology, China (Grant No. 001000546612018).

Abstract: In this paper, the stochastic resonance of two-dimensional Duffing oscillator under the adiabatic assumption is studied. For the large parameter condition, we propose the large parameter stochastic resonance of two-dimensional Duffing oscillator, and discuss the relationship between the scale transformation stochastic resonance and the parameter adjustment stochastic resonance. Then we reveal the mechanism of signal detection by Duffing oscillator stochastic resonance in large parameter condition, and extend its application to weak signal detection.

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