Regular spiking in asymmetrically delay-coupled FitzHugh-Nagumo systems

TL;DR

This paper investigates how asymmetric delays in coupled FitzHugh-Nagumo neuron models induce coexisting periodic oscillations and stable states, revealing complex dynamical behaviors relevant to neural interactions.

Contribution

It introduces the effect of asymmetric delay mismatches on coupled neuron models, highlighting the emergence of coexisting oscillatory and stable states.

Findings

Delays can induce coexisting periodic oscillations and stable fixed points.

Two types of periodic solutions, 'long' and 'short' cycles, are identified.

Asymmetric delays significantly influence neural dynamics.

Abstract

We study two delay-coupled FitzHugh-Nagumo systems, introducing a mismatch between the delay times, as the simplest representation of interacting neurons. We demonstrate that the presence of delays can cause periodic oscillations which coexist with a stable fixed point. Periodic solutions observed are of two types, which we refer to as a "long" and a "short" cycle, respectively.