Transition from asynchronous to oscillatory dynamics in balanced spiking networks with instantaneous synapses

Abstract

We report a transition from asynchronous to oscillatory behaviour in balanced inhibitory networks for class I and II neurons with instantaneous synapses. Collective oscillations emerge for sufficiently connected networks. Their origin is understood in terms of a recently developed mean-field model, whose stable solution is a focus. Microscopic irregular firings, due to balance, trigger sustained oscillations by exciting the relaxation dynamics towards the macroscopic focus. The same mechanism induces in balanced excitatory-inhibitory networks quasi-periodic collective oscillations.

arXiv commentAccepted for publication in Physical Review Letters, 4 pages, 4 figures, supplemental material available on the APS web site

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