On Synchrony of Weakly Coupled Neurons at Low Firing Rate

Authors:
L. Neltner;D. Hansel
Affiliations:
Laboratoire de Neurophysique et Physiologie du Système Moteur, Université René Descartes, 75270 Paris Cedex 06, France;Laboratoire de Neurophysique et Physiologie du Système Moteur, Université René Descartes, 75270 Paris Cedex 06, France
Venue:
Neural Computation
Year:
2001

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Abstract

The dynamics of a pair of weakly interacting conductance-based neurons, firing at low frequency, ν, is investigated in the framework of the phase-reduction method. The stability of the antiphase and the in-phase locked state is studied. It is found that for a large class of conductance-based models, the antiphase state is stable (resp., unstable) for excitatory (resp., inhibitory) interactions if the synaptic time constant is above a critical value τsc, which scales as | log ν | when ν goes to zero.