L\'evy Noise-Induced Stochastic Resonance in a Bistable System

TL;DR

This paper investigates how non-Gaussian Le9vy noise influences stochastic resonance in a bistable system, highlighting the roles of noise intensity, stability index, and external signal amplitude.

Contribution

It introduces an efficient numerical scheme to analyze Le9vy noise effects and characterizes how noise parameters affect stochastic resonance in bistable systems.

Findings

Higher external signal amplitude enhances stochastic resonance.

Adjusting Le9vy noise intensity can enlarge the output power spectrum peak.

Lower stability index increases fluctuations and reduces stochastic resonance likelihood.

Abstract

Stochastic resonance phenomenon induced by non-Gaussian L\'evy noise in a second-order bistable system is investigated. The signal-noise-ratio for different parameters is computed by an efficient numerical scheme. The influences of the noise intensity, stability index of L\'evy noise and amplitude of external signal on the occurrence of stochastic resonance phenomenon are characterized. This implies that a high amplitude of signal not only enhances the output power spectrum of system but also promotes stochastic resonance, and a proper adjustment of L\'evy noise intensity in a certain range enlarges the peak value of output power spectrum which is significant for stochastic resonance. Moreover, with the optimal damping parameter, lowering the stability index leads to larger fluctuations of L\'evy noise, and further reduces the chance of the stochastic resonance.