相关乘性和加性高斯白噪声激励下周期势系统的随机共振  

STOCHASTIC RESONANCE IN A PERIODIC POTENTIAL SYSTEM DRIVEN BY CORRELATED ADDITIVE AND MULTIPLICATIVE WHITE NOISES

作　　者：刘开贺 靳艳飞[1] 马正木 

机构地区：[1]北京理工大学宇航学院力学系,北京100081

出　　处：《动力学与控制学报》2016年第1期59-63,共5页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11272051)~~

摘　　要：研究了外加周期信号作用下,相关高斯乘性和加性白噪声激励下周期势系统的随机共振.利用线性响应理论,计算了系统输出信号的功率谱密度、振幅、相位差.研究结果表明:当加性噪声强度和关联系数不变的情况下,通过调整乘性噪声强度可以出现随机共振;关联系数的正负以及大小对随机共振的影响较小.当乘性噪声强度较小时,输出信号的振幅和相位差曲线有一个单峰出现,即出现随机共振现象,能量从噪声向信号进行转化.随着噪声强度的增大,随机共振现象消失,噪声由增大系统的有序程度渐渐变为增大系统的无序程度.In this paper,the stochastic resonance in a periodic potential system driven by correlated multiplicative and additive white noises is studied. Using the linear response method,the expressions of power spectral density,amplitude of response and phase difference of response are given. The effects of noises on stochastic resonance are also presented. It is found that stochastic resonance occurs by adjusting the intensity of multiplicative noise for small noise. Moreover,the value as well as the plus-minus sign of the correlation between the additive and multiplicative noises have slight influence on the amplitude and phase difference of system response. The curves of amplitude and phase difference of response both exhibit a peak when the intensity of multiplicative noise is small,stochastic resonance occurs and energy transfers from noise to signal. With the increase of multiplicative noise intensity,stochastic resonance disappears and the noise makes system from order to disorder.

关 键 词：随机共振 周期势系统 相关噪声 功率谱密度 

分 类 号：O324[理学—一般力学与力学基础]