α稳定噪声环境下过阻尼系统中的参数诱导随机共振现象

摘要

Parameter-induced stochastic resonance is an important method of detecting weak signal from noise,but underαstable noise background,this method has not been reported.In this paper,we study the parameter-induced stochastic resonance in an overdamped system withαstable noise.Our investigation discloses that the stochastic resonance can be realized by tuning the system parameter underαstable noise background;when the nonlinear term parameter is turned,the resonant effect becomes weakened as theαstability indexαdecreases.But when the linear term parameter is turned,the resonant effect becomes strengthened as theαstability indexαdecreases.Our observation is significant for understanding the positive role ofαstable noise in weak signal detection,which is helpful for understanding the effects of different a stable noises on stochastic resonance systems.%本文采用随机模拟方法,研究了过阻尼振子系统在α稳定噪声环境下的参数诱导随机共振现象.结果表明,在α噪声环境下,调节系统参数能够诱导随机共振现象;而且调节非线性项参数时,随机共振效果随α稳定噪声的指数的减小而减弱,但当调节线性项参数时,随机共振效果则随着α稳定噪声的特征指数的减小而增强.本文的结论在α稳定噪声环境下,利用参数诱导随机共振原理进行弱信号检测方面具有重要的理论意义,并有助于理解不同α稳定噪声对一般随机共振系统的共振效果的影响.