Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise

TL;DR

This paper studies how colored noise influences the dynamics of the FitzHugh-Nagumo neuron model, revealing modifications in resonance phenomena and noise effects, with implications for neuronal response efficiency.

Contribution

It introduces an analysis of colored noise effects on FHN dynamics, highlighting the impact of noise correlation time on resonance phenomena and effective noise intensity.

Findings

Colored noise modifies resonant activation and noise enhanced stability.

Strongly correlated noise suppresses NES and sustains RA.

Self-correlation reduces effective noise intensity, affecting neuron response.

Abstract

We analyze the dynamics of the FitzHugh-Nagumo (FHN) model in the presence of colored noise and a periodic signal. Two cases are considered: (i) the dynamics of the membrane potential is affected by the noise, (ii) the slow dynamics of the recovery variable is subject to noise. We investigate the role of the colored noise on the neuron dynamics by the mean response time (MRT) of the neuron. We find meaningful modifications of the resonant activation (RA) and noise enhanced stability (NES) phenomena due to the correlation time of the noise. For strongly correlated noise we observe suppression of NES effect and persistence of RA phenomenon, with an efficiency enhancement of the neuronal response. Finally we show that the self-correlation of the colored noise causes a reduction of the effective noise intensity, which appears as a rescaling of the fluctuations affecting the FHN system.