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.

Transition from Asynchronous to Oscillatory Dynamics in Balanced Spiking Networks with Instantaneous Synapses / Di Volo, M.; Torcini, A.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 121:12(2018). [10.1103/PhysRevLett.121.128301]

Transition from Asynchronous to Oscillatory Dynamics in Balanced Spiking Networks with Instantaneous Synapses

Di Volo M.;
2018-01-01

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.
2018
Transition from Asynchronous to Oscillatory Dynamics in Balanced Spiking Networks with Instantaneous Synapses / Di Volo, M.; Torcini, A.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 121:12(2018). [10.1103/PhysRevLett.121.128301]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2924733
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