Escape process and stochastic resonance under noise-intensity fluctuation

TL;DR

This paper investigates how fluctuations in noise intensity influence the behavior of a bistable Langevin system, revealing phenomena like resonant activation and stochastic resonance, with detailed analysis and validation through simulations.

Contribution

It introduces a comprehensive analysis of noise-intensity fluctuations on bistable systems, demonstrating non-monotonic behavior of RA and SR phenomena and validating the approach with Monte Carlo simulations.

Findings

Resonant activation and stochastic resonance observed in the system.

Non-monotonic behavior of RA and SR strength with noise-intensity variation.

Validation of analytical results with Monte Carlo simulations.

Abstract

We study the effects of noise-intensity fluctuations on the stationary and dynamical properties of an overdamped Langevin model with a bistable potential and external periodical driving force. We calculated the stationary distributions, mean-first passage time (MFPT) and the spectral amplification factor using a complete set expansion (CSE) technique. We found resonant activation (RA) and stochastic resonance (SR) phenomena in the system under investigation. Moreover, the strength of RA and SR phenomena exhibit non-monotonic behavior and their trade-off relation as a function of the squared variation coefficient of the noise-intensity process. The reliability of CSE is verified with Monte Carlo simulations.