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arXiv · 1809.00507

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

Matteo di Volo·Alessandro Torcini
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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.

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Matteo di Volo, Alessandro Torcini. 2018-09-03. Transition from asynchronous to oscillatory dynamics in balanced spiking networks with instantaneous synapses. https://doi.org/10.1103/physrevlett.121.128301

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