Order symmetry breaking and broad distribution of events in spiking neural networks with continuous membrane potential

Marco Stucchi, Fabrizio Pittorino, Matteo di Volo, Alessandro Vezzani and Raffaella Burioni

Chaos, Solitons & Fractals, 2021, vol. 147, issue C

Abstract: We introduce an exactly integrable version of the well-known leaky integrate-and-fire (LIF) model, with continuous membrane potential at the spiking event, the c-LIF. We investigate the dynamical regimes of a fully connected network of excitatory c-LIF neurons in the presence of short-term synaptic plasticity. By varying the coupling strength among neurons, we show that a complex chaotic dynamics arises, characterized by scale free avalanches. The origin of this phenomenon in the c-LIF can be related to the order symmetry breaking in neurons spike-times, which corresponds to the onset of a broad activity distribution. Our analysis uncovers a general mechanism through which networks of simple neurons can be attracted to a complex basin in the phase space.

Keywords: Neuron dynamics; Synchronization; Oscillations; Criticality; Chaos; Symmetry breaking (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003003

DOI: 10.1016/j.chaos.2021.110946

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