Abstract This paper studies the phenomenon of stochastic resonance in an asymmetric bistable system with time-delayed feedback and mixed periodic signal by using the theory of signal-to-noise ratio in the adiabatic limit. A general approximate Fokker--Planck equation and the expression of the signal-to-noise ratio are derived through the small time delay approximation at both fundamental harmonics and mixed harmonics. The effects of the additive noise intensity , multiplicative noise intensity , static asymmetry and delay time on the signal-to-noise ratio are discussed. It is found that the higher mixed harmonics and the static asymmetry can restrain stochastic resonance, and the delay time can enhance stochastic resonance. Moreover, the longer the delay time is, the larger the additive noise intensity and the multiplicative noise intensity are, when the stochastic resonance appears.
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos.~10872165 and
10902085).
Cite this article:
Guo Yong-Feng(郭永峰),Xu Wei(徐伟), and Wang Liang(王亮) Stochastic resonance in a time-delayed asymmetric bistable system with mixed periodic signal 2010 Chin. Phys. B 19 040503
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