三态噪声诱导的无穷耦合粒子形成的系统随机共振现象  

Phenomena of Stochastic Resonance Induced by Trichotomous Noise in an Infinitely Coupled Particles System

作　　者：韩引霞[1] 

机构地区：[1]宁波大学科学技术学院

出　　处：《宁波大学学报（理工版）》2012年第2期79-82,共4页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：国家自然科学基金(10647134);宁波大学人才工程项目(XR0708020)

摘　　要：研究了无穷耦合粒子形成的系统耦合系数遭受三态噪声扰动时,系统所表现出的随机共振现象.首先,利用随机平均法和Shapiro-Loginov公式,得到了耦合粒子位置的一阶矩的精确表达式;其次,通过计算机模拟画出输出信号振幅与输入信号频率、系统参数、噪声参数之间的变化曲线;最后,从模拟曲线观察到系统不仅表现出了随机共振现象,甚至还出现了双共振峰,这在双态噪声诱导的无穷个耦合粒子系统中是没有的现象.This paper study the phenomena of stochastic resonance in an infinitely coupled particles system induced by trichotomous noise.Based on the random average method and Shapiro-Loginov formula,an explicit expression of the first moment is obtained.By simulation,we obtain the curves of the amplitude of the output signal with noise parameter,system parameter and the frequency of the input signal.The results show that the amplitude of the output signal is a non-monotonic function of the noise parameter and system parameter,i.e.,the system shows the phenomena of stochastic resonance.The system shows double-resonance phenomenon.

关 键 词：三值噪声 耦合粒子系统 双共振峰 随机共振 

分 类 号：O211.64[理学—概率论与数理统计]