Lévy noise-induced stochastic resonance in a bistable system

The stochastic resonance phenomenon induced by Lévy noise in a second-order and under-damped bistable system is investigated. The signal-to-noise ratio for different parameters is computed by an efficient numerical scheme. The influences of the intensity and stability index of Lévy noise, as well as the amplitude of external signal on the occurrence of stochastic resonance phenomenon are characterized. The results imply that higher signal amplitude not only enhances the output power spectrum of system but also promotes stochastic resonance, and a proper adjustment of noise intensity in a certain range enlarges the peak value of output power spectrum which is significant for stochastic resonance. Moreover, with an appropriate damping parameter, lowering the stability index leads to larger fluctuations of Lévy noise, and further weakens the occurrence of the stochastic resonance.