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.
Order symmetry breaking and broad distribution of events in spiking neural networks with continuous membrane potential / Stucchi, M.; Pittorino, F.; Volo, M. D.; Vezzani, A.; Burioni, R.. - In: CHAOS, SOLITONS AND FRACTALS. - ISSN 0960-0779. - 147(2021), p. 110946.110946. [10.1016/j.chaos.2021.110946]
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