Characterization of the anticipated synchronization regime in the coupled FitzHugh-Nagumo model for neurons

Year: 2003

Authors: Toral R., Masoller C., Mirasso C.R., Ciszak M., Calvo O.

Autors Affiliation: Departament de Física, Universitat de les Illes Balears, E-07071 Palma de Mallorca, Spain; Inst. Mediter. de Estudios Avanzados, IMEDEA (CSIC-UIB), Campus UIB, E-07071 Palma de Mallorca, Spain; Instituto de Física, Facultad de Ciencias, Universidad de la República, Igua 4225, Montevideo 11400, Uruguay

Abstract: We characterize numerically the regime of anticipated synchronization in the coupled FitzHugh-Nagumo model for neurons. We consider two neurons, coupled unidirectionally (in a master-slave configuration), subject to the same random external forcing and with a recurrent inhibitory delayed connection in the slave neuron. We show that the scheme leads to anticipated synchronization, a regime in which the slave neuron fires the same train of pulses as the master neuron, but earlier in time. We characterize the synchronization in the parameter space (coupling strength, anticipation time) and introduce several quantities to measure the degree of synchronization.

Journal/Review: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Volume: 325 (1-2)      Pages from: 192  to: 198

KeyWords: Dynamics; Mathematical models; Spurious signal noise, FitzHugh-Nagumo model, Synchronization
DOI: 10.1016/S0378-4371(03)00198-5

Citations: 51
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