Transition from asynchronous to oscillatory dynamics in balanced spiking networks with instantaneous synapses
Disordered Systems and Neural Networks
2019-02-12 v1
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.
Keywords
Cite
@article{arxiv.1809.00507,
title = {Transition from asynchronous to oscillatory dynamics in balanced spiking networks with instantaneous synapses},
author = {Matteo di Volo and Alessandro Torcini},
journal= {arXiv preprint arXiv:1809.00507},
year = {2019}
}
Comments
Accepted for publication in Physical Review Letters, 4 pages, 4 figures, supplemental material available on the APS web site