Nonlocal-coupling-based control of stochastic resonance

TL;DR

This paper demonstrates how nonlocal coupling can control stochastic resonance in coupled oscillators, allowing enhancement or suppression of the effect by adjusting coupling parameters, with potential implications for noise-driven systems.

Contribution

It introduces nonlocal coupling as a novel method to control stochastic resonance, bridging local and global interaction topologies.

Findings

Increasing coupling radius enhances stochastic resonance effects.

Adjusting coupling strength can suppress or amplify the SNR.

Numerical simulations confirm control of noise-induced dynamics.

Abstract

It is shown that nonlocal coupling provides for controlling the collective noise-induced dynamics in the regime of stochastic resonance. This effect is demonstrated by means of numerical simulation on an example of coupled overdamped bistable oscillators. In particular, it has been established that increasing the coupling radius and coupling strength allows to enhance or to suppress the effect of stochastic resonance which is reflected in the evolution of the dependence of the signal-to-noise ratio (SNR) on the noise intensity for varying coupling parameters. Nonlocal coupling is considered as an intermediate option between local and global (pairwise or higher-order interactions) coupling topologies which are also discussed in the context of the stochastic resonance control.