Stochastic Resonance of a Periodically Driven Bistable System with Two Different Kinds of Time Delays

作     者：ZENG Chun-Hua ZHOU Xiao-Feng ZENG Qin-Huang YU Huan LI Zhi-Xiong 

作者机构：Faculty of Science Kunming University of Science and Technology Kunming 650093 China Department of Physics Qujing Normal University Qujing 655000 China Department of Physics Yunnan University Kunming 650091 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2009年第52卷第11期

页      面：871-875页

核心收录：

学科分类：080904[工学-电磁场与微波技术] 0810[工学-信息与通信工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 080402[工学-测试计量技术及仪器] 0804[工学-仪器科学与技术] 081001[工学-通信与信息系统] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Supported by the Natural Science Foundation of Yunnan Province under Grant No.08C0235 

主　　题：stochastic resonance time delays bistable system 

摘      要：In this paper, we study the phenomenon of stochastic resonance （SR） in a periodically driven bistable system with correlations between multiplicative and additive white noise terms when there, are two different kinds of time delays existed in the deterministic and fluctuating forces, respectively. Using the small time delay approximation and the theory of signal-to-noise ratio （SNR） in the adiabatic limit, the expression of SNR is obtained. The effects of the delay time T in the deterministic force, and the delay time 8 in the fluctuating force on SNR are discussed. Based on the numerical computation, it is found that： （i） There appears a reentrant transition between one peak and two peaks and then to one peak again in the curve of SNR when the value of the time delay θ is increased. （ii） SR can be realized by tuning the time delay T or 8 with fixed noise, i.e., delay-induced stochastic resonance （DSR） exists.