Stochastic resonance in a time-delayed asymmetric bistable system with mixed periodic signal |
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Authors: | Guo Yong-Feng Xu Wei and Wang Liang |
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Institution: | 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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Keywords: | stochastic resonance time-delayed feedback mixed
periodic
signal signal-to-noise ratio |
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