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Noise-sustained synchronization in a FitzHugh-Nagumo ring with electrical phase-repulsive coupling

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Abstract

We study the dynamical response under local noise of an excitable ring of FitzHugh-Nagumo units coupled through nearest-neighbor phase-repulsive electric synapses. The system is externally, adiabatically driven by a weak subthreshold periodic signal and independent Gaussian white noises. By varying the coupling strength and the noise intensity, two routes to noise-sustained synchronization are numerically observed and elucidated in terms of the system’s non-equilibrium potential. In particular, the threshold noise intensity for synchronization is theoretically predicted and numerically confirmed.

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Authors and Affiliations

  1. IFIMAR, Instituto de Investigaciones Físicas de Mar del Plata (CONICET–UNMDP), Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Deán Funes 3350, 7600, Mar del Plata, Argentina

    Matías G. dell’Erba, Alejandro D. Sánchez & Gonzalo G. Izús

  2. Centro Atómico Bariloche, CONICET, San Carlos de Bariloche, R8402, AGP Río Negro, Argentina

    Guadalupe Cascallares

Authors
  1. Matías G. dell’Erba
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  2. Guadalupe Cascallares
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  3. Alejandro D. Sánchez
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  4. Gonzalo G. Izús
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Correspondence to Matías G. dell’Erba.

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dell’Erba, M.G., Cascallares, G., Sánchez, A.D. et al. Noise-sustained synchronization in a FitzHugh-Nagumo ring with electrical phase-repulsive coupling. Eur. Phys. J. B 87, 82 (2014). https://doi.org/10.1140/epjb/e2014-41029-2

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  • DOI: https://doi.org/10.1140/epjb/e2014-41029-2

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