The effect of confinement on stochastic resonance in continuous bistable systems

TL;DR

This paper investigates how confinement influences stochastic resonance in continuous bistable systems, revealing that SR occurs in hard potentials but not in soft ones, with distinct distribution behaviors.

Contribution

It demonstrates the dependence of stochastic resonance on potential type and provides a comparative analysis of soft and hard bistable potentials.

Findings

SR observed in superharmonic (hard) potentials

SR not observed in subharmonic (soft) potentials

Different probability distribution behaviors for soft and hard potentials

Abstract

Using the input energy per cycle as a quantifier of stochastic resonance (SR), we show that SR is observed in superharmonic (hard) potentials. However, it is not observed in subharmonic (soft) potentials, even though the potential is bistable. These results are consistent with recent observations based on amplitude of average position as a quantifier. In both soft and hard potentials, we observe resonance phenomenon as a function of the driving frequency. The nature of probability distributions of average work are qualitatively different for soft and hard potentials.