Coherence and stochastic resonance in a periodic potential driven by multiplicative dichotomous and additive white noise
Coherence and stochastic resonance in a periodic potential driven by multiplicative dichotomous and additive white noise
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DOI：
10.1016/j.chaos.2017.07.006
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发表时间：
2017-10
影响因子：
7.8
通讯作者：
Yanfei Jin;Z. Ma;Shaomin Xiao
中科院分区：
文献类型：
--
作者：
Yanfei Jin;Z. Ma;Shaomin Xiao
本文给出了在无周期信号和有周期信号的情况下噪声作用下周期势的动力学分析。推导了周期势在乘性二分和加性白色噪声作用下的定态概率密度的三阶微分方程。研究发现，随着乘性噪声强度的增加，SPD经历了从单峰到双峰结构的转变。功率谱密度（PSD）和品质因子显示了适当剂量的噪声强度时的峰值结构。也就是说，出现相干共振（CR）。同时，计算每周期的平均输入能量和平均响应的幅度来量化随机共振（SR）。在小的固定加性噪声强度下，每个周期的平均输入能量的曲线示出作为乘性噪声强度的函数的多个极值。这一现象表明在这种情况下发生了随机多共振。
In this paper, the dynamical analysis of a periodic potential subject to noise without and with the periodic signal is presented. The third-order differential equation of the stationary probability density (SPD) is derived for the periodic potential, which driven by multiplicative dichotomous and additive white noise. It is found that the SPD undergoes a transition from the unimodal to the bimodal structure with the increase of multiplicative noise intensity. The power spectra density (PSD) and the qualify factor show the peak structure when a suitable dose of noise intensity is added. That is, the coherence resonance (CR) appears. Meanwhile, the average input energy per period and the amplitude of average response are calculated to quantify stochastic resonance (SR). The curve of the average input energy per period shows multiple extrema as a function of multiplicative noise intensity at the small fixed additive noise intensity. This phenomenon indicates the stochastic multi-resonance happens for this case.