The European Physical Journal B

, Volume 65, Issue 3, pp 443–451

Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise


DOI: 10.1140/epjb/e2008-00315-6

Cite this article as:
Valenti, D., Augello, G. & Spagnolo, B. Eur. Phys. J. B (2008) 65: 443. doi:10.1140/epjb/e2008-00315-6


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.


87.19.ll Models of single neurons and networks Noise in the nervous system 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion 05.45.-a Nonlinear dynamics and chaos 

Copyright information

© Springer 2008

Authors and Affiliations

  1. 1.Dipartimento di Fisica e Tecnologie Relative, Group of Interdisciplinary PhysicsUniversità di Palermo and CNISM-INFM, Unità di PalermoViale delle ScienzeItaly

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