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Critical behaviour of the stochastic Wilson-Cowan model

Categoria
Seminario
Data
2021-12-17 12:00 - 13:00
Luogo
Microsoft Teams
Email
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Affiliation
universita` di Napoli

Networks of spiking neurons are introduced to describe some features of the brain activity, which are characterized by burst events (avalanches) with power-law distributions of size and duration. The observation of this kind of noisy behaviour in a wide variety of real systems led to the hypothesis that neuronal networks work in the proximity of a critical point. This hypothesis is at the core of an intense debate. At variance with previous claims, here we show that a stochastic version of the Wilson-Cowan model presents a phenomenology in agreement with the existence of a bona fide critical point for a particular choice of the relative synaptic weight between excitatory and inhibitory neurons. The system behaviour at this point shows all features typical of criticality, such as diverging timescales, scaling with the system size and scale-free distributions of avalanche sizes and durations, with exponents corresponding to the mean-field branching process. Our analysis unveils the critical nature of the observed behaviours. Il seminario si terra` nel laboratorio di Fisica Computazionale Edificio F - FSTEC-08P02020. La capienza dell`aula e` limitata, cortesemente prenotare la presenza via mail Questo indirizzo email è protetto dagli spambots. È necessario abilitare JavaScript per vederlo.

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