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Stochastic resonance in a periodically driven linear system with multiplicative and periodically modulated additive white noises

Author

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  • Cao, Li
  • Wu, Da-Jin

Abstract

The stochastic resonance (SR) of periodically driven linear system with multiplicative white noise and periodically modulated additive white noise is studied. Exact expressions of output signal-to-noise ratio are obtained. The SR characteristics features are shown in two different situations: The driven frequency Ω is equal to the modulative frequency Ω1 and the driven frequency Ω is not equal to the modulative frequency Ω1. The result was as follows. The exact expression of output signal-to-noise ratio (SNR) exhibits SR in three aspects in the case of Ω=Ω1: (1) The curve of SNR versus noise strength Q exists a resonance peak. This is a standard form of SR. (2) A resonance peak exists in the SNR vs λ curve in the region of λ>0. (3) A maximum appears in the curve of SNR as a function of the characteristic of signal itself, the signal frequency Ω. It is of interest to examine the SNR in the case of Ω≠Ω1. From the exact expression of SNR we see, for Ω≠Ω1, that the SNR vs Q curve exhibits a minimum firstly, then a maximum, that is to say, it exhibits a suppression firstly, resonance later and is very different from the case of Ω=Ω1.

Suggested Citation

  • Cao, Li & Wu, Da-Jin, 2007. "Stochastic resonance in a periodically driven linear system with multiplicative and periodically modulated additive white noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 191-198.
    • Handle: RePEc:eee:phsmap:v:376:y:2007:i:c:p:191-198
    DOI: 10.1016/j.physa.2006.10.052
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