The European Physical Journal B

, Volume 65, Issue 3, pp 443–451

Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise

Authors

    • Dipartimento di Fisica e Tecnologie Relative, Group of Interdisciplinary PhysicsUniversità di Palermo and CNISM-INFM, Unità di Palermo
  • G. Augello
    • Dipartimento di Fisica e Tecnologie Relative, Group of Interdisciplinary PhysicsUniversità di Palermo and CNISM-INFM, Unità di Palermo
  • B. Spagnolo
    • Dipartimento di Fisica e Tecnologie Relative, Group of Interdisciplinary PhysicsUniversità di Palermo and CNISM-INFM, Unità di Palermo
Article

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

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.

PACS

87.19.ll Models of single neurons and networks87.19.lc Noise in the nervous system05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion05.45.-a Nonlinear dynamics and chaos

Copyright information

© Springer 2008