Delay induced transitions in an asymmetry bistable system and stochastic resonance

Delay induced transitions in an asymmetry bistable system and stochastic resonance
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不对称双稳态系统中的延迟引起的转变和随机共振

DOI:
10.1007/s11433-010-0157-3
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发表时间:
2010-04
影响因子:
6.4
通讯作者:
Zhou BingChang
Zhou BingChang
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Zhang HuiQing;Xu Wei;Xu Yong;Zhou BingChang

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给出了具有关联高斯白色噪声的非对称双曲系统的时滞Fokker-Planck方程。采用基于概率密度方法的小延迟近似,得到了近似的稳态概率密度函数。发现了时滞诱导跃迁现象,研究了在外加弱周期信号时的随机共振现象。利用双态理论得到了信噪比的表达式。结果表明,时滞对随机共振现象有抑制或促进作用。
The delay Fokker-Planck equation is given for an asymmetry bistable system with correlated Gaussian white noises. The small delay approximation based on the probability density approach is used and the approximate stationary probability density function is obtained. The phenomenon of delay induced transitions is found. When a weak periodic signal is added, the phenomenon of stochastic resonance is investigated. Expression of the signal-to-noise ratio (SNR) is obtained by using the two-state theory. It is shown that the time delay can suppress or promote the stochastic resonance phenomenon.
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