Noise-induced dynamics in bistable systems with delay.
Noise-induced dynamics in bistable systems with delay.
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DOI：
10.1103/physrevlett.87.250602
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发表时间：
2001-07
影响因子：
8.6
通讯作者：
L. Tsimring;A. Pikovsky
中科院分区：
文献类型：
--
作者：
L. Tsimring;A. Pikovsky
对典型的延迟反馈双稳系统的噪声诱导动力学进行了理论和数值研究。对于小噪声和反馈的大小，问题被归结为两状态模型的分析，其中转移率取决于系统的早期状态。求出了自相关函数和功率谱的解析解。功率谱在反延迟时间对应的频率处有一个峰值，其幅度在一定的噪声水平下达到最大值，从而显示出相干共振。在反延迟时间及其谐波对应的频率处，对外周期力的线性响应也有极大值。
Noise-induced dynamics of a prototypical bistable system with delayed feedback is studied theoretically and numerically. For small noise and magnitude of the feedback, the problem is reduced to the analysis of the two-state model with transition rates depending on the earlier state of the system. Analytical solutions for the autocorrelation function and the power spectrum have been found. The power spectrum has a peak at the frequency corresponding to the inverse delay time, whose amplitude has a maximum at a certain noise level, thus demonstrating coherence resonance. The linear response to the external periodic force also has maxima at the frequencies corresponding to the inverse delay time and its harmonics.