title: Chaos and Correlated Avalanches in Excitatory Neural Networks with Synaptic Plasticity.
abstract: A collective chaotic phase with power law scaling of activity events is observed in a disordered mean field network of purely excitatory leaky integrate-and-fire neurons with short-term synaptic plasticity. The dynamical phase diagram exhibits two transitions from quasisynchronous and asynchronous regimes to the nontrivial, collective, bursty regime with avalanches. In the homogeneous case without disorder, the system synchronizes and the bursty behavior is reflected into a period doubling transition to chaos for a two dimensional discrete map. Numerical simulations show that the bursty chaotic phase with avalanches exhibits a spontaneous emergence of persistent time correlations and enhanced Kolmogorov complexity. Our analysis reveals a mechanism for the generation of irregular avalanches that emerges from the combination of disorder and deterministic underlying chaotic dynamics.
authors.affiliation: Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, via G.P. Usberti, 7/A-43124 Parma, Italy.|INFN, Gruppo Collegato di Parma, via G.P. Usberti, 7/A-43124 Parma, Italy.
authors.forename: Fabrizio
authors.initials: F
authors.lastname: Pittorino
authors.affiliation: INFN, Gruppo Collegato di Parma, via G.P. Usberti, 7/A-43124 Parma, Italy.
authors.forename: Miguel
authors.initials: M
authors.lastname: Ibáñez-Berganza
authors.affiliation: Group for Neural Theory, Laboratoire de Neurosciences Cognitives, INSERM U960, École Normale Supérieure, Paris 75005, France.
authors.forename: Matteo
authors.initials: M
authors.lastname: di Volo
authors.affiliation: Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, via G.P. Usberti, 7/A-43124 Parma, Italy.|IMEM-CNR, Parco Area delle Scienze, 37/A-43124 Parma, Italy.
authors.forename: Alessandro
authors.initials: A
authors.lastname: Vezzani
authors.affiliation: Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, via G.P. Usberti, 7/A-43124 Parma, Italy.|INFN, Gruppo Collegato di Parma, via G.P. Usberti, 7/A-43124 Parma, Italy.
authors.forename: Raffaella
authors.initials: R
authors.lastname: Burioni
mesh_terms: D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D009473:Neuronal Plasticity / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D017711:Nonlinear Dynamics