Stochastic resonance between dissipative structures in a bistable noise-sustained dynamics

TL;DR

This paper investigates how multiplicative noise induces bistability and stochastic resonance in a system that is monostable without noise, using theoretical analysis and nonequilibrium potential to predict optimal signal-to-noise ratio.

Contribution

It introduces a theoretical framework for analyzing stochastic resonance in noise-sustained bistable systems using nonequilibrium potential.

Findings

Maximum signal-to-noise ratio occurs at symmetric attractors.

Exact nonequilibrium potential enables precise prediction of resonance.

Bistability arises due to noise in a system that is monostable without it.

Abstract

We study an extended system that without noise shows a monostable dynamics, but when submitted to an adequate multiplicative noise, an effective bistable dynamics arise. The stochastic resonance between the attractors of the \textit{noise-sustained dynamics} is investigated theoretically in terms of a two-state approximation. The knowledge of the exact nonequilibrium potential allows us to obtain the output signal-to-noise ratio. Its maximum is predicted in the symmetric case for which both attractors have the same nonequilibrium potential value.