Multiplexing-based control of stochastic resonance

TL;DR

This paper demonstrates how multiplexing in multilayer networks can control and enhance stochastic resonance effects, depending on the distribution of forcing and noise across layers, with potential for optimizing signal detection.

Contribution

It introduces a novel approach to controlling stochastic resonance in multilayer networks through multiplexing, highlighting conditions for suppression or enhancement of the effect.

Findings

Multiplexing suppresses stochastic resonance when only one layer has periodic forcing.

Multiplexing enhances stochastic resonance with forcing and noise in all layers.

The resonance effect is maximized at an intermediate coupling strength.

Abstract

We show that multiplexing allows to control noise-induced dynamics of multilayer networks in the regime of stochastic resonance. We illustrate this effect on an example of two- and multi-layer networks of bistable overdamped oscillators. In particular, we demonstrate that multiplexing suppresses the effect of stochastic resonance, if the periodic forcing is present in only one layer. In contrast, the multiplexing allows to enhance the stochastic resonance, if the periodic forcing and noise are present in all the interacting layers. In such a case the impact of multiplexing has a resonant character: the most pronounced effect of stochastic resonance is achieved for an appropriate intermediate value of coupling strength between the layers. Moreover, multiplexing-induced enhancement of the stochastic resonance can become more pronounced for increasing number of coupled layers. To visualize the revealed phenomena, we use the evolution of the dependence of the signal-to-noise ratio on the noise intensity for varying strength of coupling between the layers.