Nonlocal-coupling-based control of coherence resonance

TL;DR

This paper shows how nonlocal coupling can be used to control coherence resonance in coupled oscillators, with potential applications in managing stochastic dynamics.

Contribution

It introduces a control scheme based on nonlocal interactions to modulate coherence resonance in FitzHugh-Nagumo oscillators.

Findings

Increasing coupling radius enhances coherence resonance effects.

Nonlocal coupling can both suppress and amplify coherence resonance.

The control scheme is effective in tuning stochastic dynamics.

Abstract

We demonstrate that nonlocal coupling enables control of the collective stochastic dynamics in the regime of coherence resonance. The control scheme based on the nonlocal interaction properties is presented by means of numerical simulation on an example of coupled FitzHugh-Nagumo oscillators. In particular, increasing the coupling radius is shown to enhance or to suppress the effect of coherence resonance which is reflected in the evolution of the dependence of the correlation time and the deviation of interspike intervals on the noise intensity. Nonlocal coupling is considered as an intermediate option between local and global coupling topologies which are also discussed in the context of the coherence resonance control.