Stochastic Mean Formulation of the Dynamics of Diluted Neural Networks (Articolo in rivista)

Type
Label
  • Stochastic Mean Formulation of the Dynamics of Diluted Neural Networks (Articolo in rivista) (literal)
Anno
  • 2015-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevE.00.002900 (literal)
Alternative label
  • David Angulo-Garcia Alessandro Torcini (2015)
    Stochastic Mean Formulation of the Dynamics of Diluted Neural Networks
    in Physical review. E, Statistical, nonlinear and soft matter physics (Online)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • David Angulo-Garcia Alessandro Torcini (literal)
Pagina inizio
  • 022928 (literal)
Pagina fine
  • 022928 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.022928 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 91 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • CNR - Consiglio Nazionale dell Ricerche. Istituto dei Sistemi Complessi. Via Madonna del Piano, 10 Sesto Fiorentino 50019 (FI) (literal)
Titolo
  • Stochastic Mean Formulation of the Dynamics of Diluted Neural Networks (literal)
Abstract
  • We consider pulse-coupled leaky integrate-and-fire neural networks with randomly distributed synaptic couplings. This random dilution induces fluctuations in the evolution of the macroscopic variables and deterministic chaos at the microscopic level. Our main aim is to mimic the effect of the dilution as a noise source acting on the dynamics of a globally coupled nonchaotic system. Indeed, the evolution of a diluted neural network can be well approximated as a fully pulse-coupled network, where each neuron is driven by a mean synaptic current plus additive noise. These terms represent the average and the fluctuations of the synaptic currents acting on the single neurons in the diluted system. The main microscopic and macroscopic dynamical features can be retrieved with this stochastic approximation. Furthermore, the microscopic stability of the diluted network can be also reproduced, as demonstrated from the almost coincidence of the measured Lyapunov exponents in the deterministic and stochastic cases for an ample range of system sizes. Our results strongly suggest that the fluctuations in the synaptic currents are responsible for the emergence of chaos in this class of pulse-coupled networks. (literal)
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