Stochastic resonance in time-delayed bistable systems driven by weak periodic signal
Stochastic resonance in time-delayed bistable systems driven by weak periodic signal
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DOI：
10.1016/j.physa.2008.12.001
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发表时间：
2008-06
影响因子：
3.3
通讯作者：
Rui-Hua Shao;Yong Chen
中科院分区：
文献类型：
--
作者：
Rui-Hua Shao;Yong Chen
从理论上研究了弱周期力驱动的时滞反馈双稳系统。导出了有效势函数和稳态概率密度。延迟时间和反馈的强度会改变势井的形状。在绝热近似下，得到了弱周期力作用下系统的信噪比。延时反馈通过改变电势的形状和信号的有效强度来调制信噪比的大小。信噪比最大值随反馈强度ϵ的增大而减小。当ϵ为负(或正)时，时滞可以抑制(或促进)随机共振现象。
We study theoretically a bistable system with time-delayed feedback driven by a weak periodic force. The effective potential function and the steady-state probability density are derived. The delay time and the strength of its feedback can change the shapes of the potential wells. In the adiabatic approximation, the signal-to-noise ratio (SNR) of the system with a weak periodic force is obtained. The time-delayed feedback modulates the magnitude of SNR by changing the shape of the potential and the effective strength of the signal. The maximum of SNR decreases with increasing the feedback intensity ϵ. When ϵ is negative (or positive), the time delay can suppress (or promote) the stochastic resonance phenomenon.