Coherence resonance control via nonlocal coupling in an ensemble of non-excitable oscillators

TL;DR

This paper demonstrates that nonlocal coupling can effectively control coherence resonance in ensembles of non-excitable oscillators, with increased coupling radius enhancing resonance effects.

Contribution

It introduces nonlocal coupling as a novel control mechanism for coherence resonance, supported by numerical simulations on generalized Van der Pol oscillators.

Findings

Increasing coupling radius enhances coherence resonance.

Nonlocal coupling influences power spectra and correlation time.

Both local and global coupling are also examined as control methods.

Abstract

Nonlocal interaction is shown to be an appropriate tool for controlling coherence resonance in ensembles of non-excitable oscillators. The constructive role of nonlocal coupling is demonstrated through numerical simulations on an example of coupled generalized Van der Pol oscillators close to the saddle-node bifurcation of limit cycles. In particular, increasing the coupling radius is found to enhance coherence resonance, which manifests itself in the evolution of power spectra and dependencies of the correlation time on the noise intensity. Nonlocal coupling is interpreted as an intermediate topology between local and global coupling, both of which are also examined as mechanisms for controlling coherence resonance.