# Highly synchronized noise-driven oscillatory behavior of a FitzHugh-Nagumo ring with phase-repulsive coupling

## TL;DR

This paper studies a ring of FitzHugh-Nagumo oscillators with phase-repulsive coupling, driven by noise and an external oscillatory signal, revealing noise-induced synchronization phenomena.

## Contribution

It introduces a model of coupled FitzHugh-Nagumo elements with phase-repulsive interactions under noise and external forcing, highlighting noise-driven synchronization effects.

## Key findings

- Noise-sustained synchronization with external signal
- Phase-repulsive coupling influences oscillatory behavior
- System exhibits noise-induced collective oscillations

## Abstract

We investigate a ring of $N$ FitzHugh--Nagumo elements coupled in \emph{phase-repulsive} fashion and submitted to a (subthreshold) common oscillatory signal and independent Gaussian white noises. This system can be regarded as a reduced version of the one studied in [Phys. Rev. E \textbf{64}, 041912 (2001)], although externally forced and submitted to noise. The noise-sustained synchronization of the system with the external signal is characterized.