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Published on: March 25, 2014
Transition from Asynchronous to Oscillatory Dynamics in Balanced Spiking Networks with Instantaneous Synapses
Matteo di Volo1, Alessandro Torcini2
1Unité de Neuroscience, Information et Complexité (UNIC), CNRS FRE 3693, 1 avenue de la Terrasse, 91198 Gif sur Yvette, France.
Abstract:
We report a transition from asynchronous to oscillatory behavior 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 quasiperiodic collective oscillations.
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