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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.
In this paper, stochastic simulation is used to study the parameter-induced stochastic resonance of an overdamped vibrator system in α-stable noise environment. The results show that the stochastic resonance phenomenon can be induced by adjusting the system parameters in the α-noise environment. Moreover, , The stochastic resonance effect decreases with the decrease of the α stable noise index, but when the linear term is adjusted, the stochastic resonance effect increases with the decrease of the characteristic index of α stable noise.The conclusion of this paper is that in the α stable noise environment , It is of great theoretical significance to detect the weak signal by using the principle of stochastic resonance induced by parameters and help to understand the effect of different α-stable noise on the resonance effect of a general stochastic resonance system.