Stable chaos in fluctuation driven neural circuits (Articolo in rivista)

Type
Label
  • Stable chaos in fluctuation driven neural circuits (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.chaos.2014.10.009 (literal)
Alternative label
  • David Angulo-Garcia (a); Alessandro Torcini (a,b) (2014)
    Stable chaos in fluctuation driven neural circuits
    in Chaos, solitons and fractals
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • David Angulo-Garcia (a); Alessandro Torcini (a,b) (literal)
Pagina inizio
  • 233 (literal)
Pagina fine
  • 245 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#altreInformazioni
  • Available online 9 November 2014. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.sciencedirect.com/science/article/pii/S0960077914001805 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 69 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 13 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • December (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • (a) CNR - Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy (b) INFN Sez. Firenze, via Sansone, 1, I-50019 Sesto Fiorentino, Italy (literal)
Titolo
  • Stable chaos in fluctuation driven neural circuits (literal)
Abstract
  • We study the dynamical stability of pulse coupled networks of leaky integrate-and-fire neurons against infinitesimal and finite perturbations. In particular, we compare mean versus fluctuations driven networks, the former (latter) is realized by considering purely excitatory (inhibitory) sparse neural circuits. In the excitatory case the instabilities of the system can be completely captured by an usual linear stability (Lyapunov) analysis, whereas the inhibitory networks can display the coexistence of linear and nonlinear instabilities. The nonlinear effects are associated to finite amplitude instabilities, which have been characterized in terms of suitable indicators. For inhibitory coupling one observes a transition from chaotic to non chaotic dynamics by decreasing the pulse-width. For sufficiently fast synapses the system, despite showing an erratic evolution, is linearly stable, thus representing a prototypical example of stable chaos. (literal)
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