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Stochastic resonance in a time-delayed asymmetric bistable system with mixed periodic signal |
| Guo Yong-Feng(郭永峰)†,Xu Wei(徐伟), and Wang Liang(王亮) |
| Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China |
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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 $Q$, multiplicative noise intensity $D$, static asymmetry $r$ and delay time $\tau$ on the signal-to-noise ratio are discussed. It is found that the higher mixed harmonics and the static asymmetry $r$ can restrain stochastic resonance, and the delay time $\tau $ can enhance stochastic resonance. Moreover, the longer the delay time $\tau $ is, the larger the additive noise intensity $Q$ and the multiplicative noise intensity $D$ are, when the stochastic resonance appears.
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Received: 20 June 2009
Revised: 07 July 2009
Accepted manuscript online:
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PACS:
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05.40.Ca
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(Noise)
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02.50.Fz
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(Stochastic analysis)
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05.10.Gg
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(Stochastic analysis methods)
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| 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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