两种不同类型噪声驱动下的非对称双稳系统的随机共振  

Stochastic Resonance in Asymmetric Bistable System Driven by two Different Kinds of Noise

作　　者：周丙常[1] 徐伟[1] 张晓燕[1] 

机构地区：[1]西北工业大学

出　　处：《应用力学学报》2009年第1期27-30,208-209,共4页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(10472091;10332030)

摘　　要：研究了由色关联的乘性色噪声和加性白噪声联合激励下的非对称双稳系统的随机共振现象,运用两态模型理论和统一色噪声近似理论,在绝热近似条件下得到了信噪比的表达式。信噪比是乘性色噪声强度,加性白噪声强度,噪声耦合强度,乘性噪声自关联时间和噪声互关联时间的非单调函数,所以在该双稳系统中产生了随机共振。在系统的偏度不是太大的情况下调节加性白噪声强度比调节乘性色噪声强度更容易控制随机共振,并且以信噪比作为噪声之间耦合强度的函数时可以观察到二次随机共振现象。The stochastic resonance(SR)in an asymmetric bistable system subject to multiplicative colored noise and additive white noise with a colored cross-correlation is investigated by two-state theory(TST)and unified colored noise approximation(UCNA).The analytic expression of the signal-to-noise(SNR)is obtained under adiabatic condition.The SNR is a non-monotonic function of intensities of multiplicative and additive noises,cross-correlation strength and time between noises and the correlation time of multiplicative noise,so SR appears in this bistable system.When the asymmetry of the bistable potential is not too large,it is more sensitive to control SR via adjusting the additive noise intensity than adjusting the multiplicative noise intensity.Moreover,when SNR gets as a function of the strength of coupling between multiplicative colored noise and additive white noise,double stochastic resonance(DSR)exhibits in the system.

关 键 词：非对称双稳系统 随机共振 信噪比 

分 类 号：O212[理学—概率论与数理统计]