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Stochastic resonance in a time-delayed asymmetric mono-stable system modulated by periodic rectangular signal

Zhang Xiao-Yan Xu Wei Zhou Bing-Chang

Stochastic resonance in a time-delayed asymmetric mono-stable system modulated by periodic rectangular signal

Zhang Xiao-Yan, Xu Wei, Zhou Bing-Chang
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  • PDF Downloads:  534
  • Cited By: 0
Publishing process
  • Received Date:  07 March 2011
  • Accepted Date:  30 May 2011
  • Published Online:  15 March 2012

Stochastic resonance in a time-delayed asymmetric mono-stable system modulated by periodic rectangular signal

  • 1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 10872165, 11102155).

Abstract: We investigated the stochastic resonance of the time-delayed mono-stable system modulated by periodic rectangular signal and Gaussian white noises. The expression of signal-to-noise ratio (SNR) is obtained, and the stochastic resonance phenomenon is found in this system. The study shows that the effects of multiplicative and white noise intensity on the SNR are different. In the SNR-D plot, the phenomenon of resonance and suppression exists together. When the value of the bias of system |r| is bigger or the ratio of multiplicative and white noise intensity D/ is less than 1, the stochastic resonance phenomena in the SNR- plots disappear.

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