Levy噪声驱动下的三稳态随机共振特性分析

Characteristic Analysis of Tri-stable Stochastic Resonance with Levy Noise

将Levy噪声与三稳态随机共振系统相结合,以平均信噪比增益为衡量指标,针对Levy噪声驱动下的三稳态系统的随机共振特性进行深入研究。探究了当Levy噪声特征指数与对称参数取不同值时,三稳态系统参数w,a和b,Levy噪声强度放大系数D对系统共振输出的影响。研究结果表明,在不同Levy噪声分布作用下,通过调节系统参数均可诱导随机共振,并且产生随机共振的参数区间大致相同;另外,调节噪声强度放大系数同样使系统产生随机共振。本研究结果为Levy噪声环境下参数诱导的三稳态随机共振现象系统参数的合理选取提供了依据。

The characteristic analysis of tri-stable stochastic resonance with Levy noise is analyzed deeply with Levy noise being combined with a tri-stable stochastic resonance system and average signal-to-noise ratio gain being used as index. The effect of tri-stable system parameters w, a, b and Levy noise intensity amplification factor D on the resonant output is explored with different Levy noise. Results show that for different distribution of Levy noise, the stochastic resonance phenomenon can be induced by tuning the system parameters. The parameter intervals which can induce stochastic resonances are approximately equal. Moreover, by adjusting the intensity amplification factor D of Levy noise, the stochastic resonances can happen similarly. These results will provide a basis for the reasonable selection of system parameters of parameter-induced tri-stable stochastic resonance under Levy noise.