Asymmetric stochastic resonance under non-Gaussian colored noise and time-delayed feedback  

作　　者：Ting-Ting Shi Xue-Mei Xu Ke-Hui Sun Yi-Peng Ding Guo-Wei Huang 石婷婷;许雪梅;孙克辉;丁一鹏;黄国伟(School of Physics and Electronics,Central South University,Changsha 410083,China)

机构地区：[1]School of Physics and Electronics,Central South University,Changsha 410083,China

出　　处：《Chinese Physics B》2020年第5期155-164,共10页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.60551002);the Natural Science Foundation of Hunan Province,China(Grant No.2018JJ3680).

摘　　要：Based on adiabatic approximation theory,in this paper we study the asymmetric stochastic resonance system with time-delayed feedback driven by non-Gaussian colored noise.The analytical expressions of the mean first-passage time(MFPT)and output signal-to-noise ratio(SNR)are derived by using a path integral approach,unified colored-noise approximation(UCNA),and small delay approximation.The effects of time-delayed feedback and non-Gaussian colored noise on the output SNR are analyzed.Moreover,three types of asymmetric potential function characteristics are thoroughly discussed.And they are well-depth asymmetry(DASR),well-width asymmetry(WASR),and synchronous action of welldepth and well-width asymmetry(DWASR),respectively.The conclusion of this paper is that the time-delayed feedback can suppress SR,however,the non-Gaussian noise deviation parameter has the opposite effect.Moreover,the correlation time plays a significant role in improving SNR,and the SNR of asymmetric stochastic resonance is higher than that of symmetric stochastic resonance.Our experiments demonstrate that the appropriate parameters can make the asymmetric stochastic resonance perform better to detect weak signals than the symmetric stochastic resonance,in which no matter whether these signals have low frequency or high frequency,accompanied by strong or weak noise.

关 键 词：asymmetric stochastic resonance time-delayed feedback non-Gaussian colored noise weak signal detection 

分 类 号：TN911.23[电子电信—通信与信息系统]