Monthly
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6 x 9, illustrated
ISSN
0899-7667
E-ISSN
1530-888X
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2.21

Neural Computation

April 1, 2001, Vol. 13, No. 4, Pages 765-774
(doi: 10.1162/089976601300014330)
© 2001 Massachusetts Institute of Technology
On Synchrony of Weakly Coupled Neurons at Low Firing Rate
Article PDF (142.98 KB)
Abstract

The dynamics of a pair of weakly interacting conductance-based neurons, firing at low frequency, v, 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 τcs, which scales as |logv| when v goes to zero.