Stochastic Multiresonance for a Fractional Linear Oscillator with Quadratic Trichotomous Noise  

作　　者：朱建渠 金炜东 郑高 郭锋 

机构地区：[1]School of Electrical Engineering Southwest Jiaotong University [2]Chongqing University of Science and Technology [3]Department of Electromechanical Management China Maritime Police Academy [4]School of Information Engineering of Southwest University of Science and Technology

出　　处：《Communications in Theoretical Physics》2017年第11期617-622,共6页理论物理通讯（英文版）

基　　金：Supported by National Natural Science Foundation of China under Grant No.61134002

摘　　要：The stochastic multiresonance behavior for a fractional linear oscillator with random system frequency is investigated. The fluctuation of the system frequency is a quadratic trichotomous noise, the memory kernel of the fractional oscillator is modeled as a Mittag Lemer function. Based on linear system theory, applying Laplace transform and the definition of fractional derivative, the expression of the system output amplitude （SPA） is obtained. Stochastic multiresonanee phenomenon is found on the curves of SPA versus the memory time and the memory exponent of the fractional oscillator, as well as versus the trichotomous noise amplitude. The SPA depends non-monotonically on the stationary probability of the trichotomous noise, on the viscous damping coefficient and system characteristic frequency of the oscillator, as well as on the driving frequency of external force.

关 键 词：stochastic multiresonance linear fractional oscillator quadratic trichotoInous noise system out-put amplitude 

分 类 号：TN752[电子电信—电路与系统]