Collective oscillations in disordered neural networks (Articolo in rivista)

Type
Label
  • Collective oscillations in disordered neural networks (Articolo in rivista) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevE.81.046119 (literal)
Alternative label
  • Olmi S.; Livi R.; Politi A.; Torcini A. (2010)
    Collective oscillations in disordered neural networks
    in Physical review. E, Statistical, nonlinear, and soft matter physics (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Olmi S.; Livi R.; Politi A.; Torcini A. (literal)
Pagina inizio
  • 046119 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 81(4) (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
  • American Physical Society. (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Physics Department, Sesto Fiorentino and CNR-ISC, Firenze, Sesto Fiorentino and INFN, Sez. Firenze, Sesto Fiorentino and Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, Sesto Fiorentino, Italy, Physics Department, Sesto Fiorentino and CNR-ISC; Firenze, Sesto Fiorentino and INFN, Sez. Firenze, Sesto Fiorentino and Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, Sesto Fiorentino, Italy, CNR-ISC, Firenze, Sesto Fiorentino and Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, Sesto Fiorentino, Italy (literal)
Titolo
  • Collective oscillations in disordered neural networks (literal)
Abstract
  • We investigate the onset of collective oscillations in a excitatory pulse-coupled network of leaky integrate-and-fire neurons in the presence of quenched and annealed disorder. We find that the disorder induces a weak form of chaos that is analogous to that arising in the Kuramoto model for a finite number N of oscillators [O. V. Popovych et al., Phys. Rev. E 71 065201(R) (2005)]. In fact, the maximum Lyapunov exponent turns out to scale to zero for N??, with an exponent that is different for the two types of disorder. In the thermodynamic limit, the random-network dynamics reduces to that of a fully homogeneous system with a suitably scaled coupling strength. Moreover, we show that the Lyapunov spectrum of the periodically collective state scales to zero as 1/N2, analogously to the scaling found for the \"splay state.\" (literal)
Prodotto di
Autore CNR
Insieme di parole chiave

Incoming links:


Autore CNR di
Prodotto
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi
Insieme di parole chiave di
data.CNR.it