Stochastic resonance in a bistable system subject to multiplicative and additive noise
Stochastic resonance in a bistable system subject to multiplicative and additive noise
复制标题
DOI：
10.1103/physreve.62.1869
复制
发表时间：
2000-08
期刊：
影响因子：
--
通讯作者：
Ya Jia;Si-ning Yu;Jia-rong Li
中科院分区：
文献类型：
--
作者：
Ya Jia;Si-ning Yu;Jia-rong Li
利用绝热极限下的信噪比(SNR)理论，研究了乘性和加性噪声与周期信号同时作用下双稳态系统中的随机共振(SR)现象。考虑了两种情况：乘性噪声和加性噪声之间不存在相关性的情况以及两个噪声之间存在相关性的情况。获得了两种情况下的SNR 表达式。分别针对这两种情况讨论了乘性和加性噪声的强度以及噪声之间的相关性强度对 SNR 的影响。发现SNR最大值的存在是SR现象的识别特征。在乘性噪声和加性噪声之间不存在相关性的情况下，SNR 与系统的初始条件无关。然而，信噪比不仅取决于噪声之间的相关性强度，还取决于系统在两个噪声之间存在相关性时的初始条件。
The stochastic resonance (SR) phenomenon in a bistable system under the simultaneous action of multiplicative and additive noise and periodic signal is studied by using the theory of signal-to-noise ratio (SNR) in the adiabatic limit. Two cases have been considered: the case of no correlations between multiplicative and additive noise and the case of correlations between two noises. The expressions of the SNR for both cases are obtained. The effects of intensity of multiplicative and additive noise and the intensity of the correlations between noises on the SNR are discussed for both cases, respectively. It is found that the existence of a maximum in the SNR is the identifying characteristic of the SR phenomenon. In the case of no correlations between multiplicative and additive noise, the SNR is independent of the initial condition of the system. However, the SNR is not only dependent on the intensity of correlations between noises, but also on the initial condition of the system in the presence of correlations between two noises.