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

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2021
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Pittorino, Fabrizio
di Volo, Matteo
Vezzani, Alessandro
Burioni, Raffaella
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Chaos, Solitons & Fractals. Elsevier. 2021, 147, 110946. ISSN 0960-0779. eISSN 1873-2887. Available under: doi: 10.1016/j.chaos.2021.110946
Zusammenfassung

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.

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570 Biowissenschaften, Biologie
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Neuron dynamics; Synchronization; Oscillations; Criticality; Chaos; Symmetry breaking
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ISO 690STUCCHI, Marco, Fabrizio PITTORINO, Matteo DI VOLO, Alessandro VEZZANI, Raffaella BURIONI, 2021. Order symmetry breaking and broad distribution of events in spiking neural networks with continuous membrane potential. In: Chaos, Solitons & Fractals. Elsevier. 2021, 147, 110946. ISSN 0960-0779. eISSN 1873-2887. Available under: doi: 10.1016/j.chaos.2021.110946
BibTex
@article{Stucchi2021Order-54253,
  year={2021},
  doi={10.1016/j.chaos.2021.110946},
  title={Order symmetry breaking and broad distribution of events in spiking neural networks with continuous membrane potential},
  volume={147},
  issn={0960-0779},
  journal={Chaos, Solitons & Fractals},
  author={Stucchi, Marco and Pittorino, Fabrizio and di Volo, Matteo and Vezzani, Alessandro and Burioni, Raffaella},
  note={Article Number: 110946}
}
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