Stability of the splay state in pulse-coupled networks (Articolo in rivista)

Type
Label
  • Stability of the splay state in pulse-coupled networks (Articolo in rivista) (literal)
Anno
  • 2007-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevE.76.046102 (literal)
Alternative label
  • Zillmer, R (1,2,3); Livi, R (4,3,5); Politi, A (1,5); Torcini, A (1,3,5); (2007)
    Stability of the splay state in pulse-coupled networks
    in Physical review. E, Statistical, nonlinear, and soft matter physics (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Zillmer, R (1,2,3); Livi, R (4,3,5); Politi, A (1,5); Torcini, A (1,3,5); (literal)
Pagina inizio
  • 046102 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 76 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 10 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1) Istituto dei Sistemi Complessi, CNR, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy 2) Laboratoire de neurophysique et de physiologie du systeme moteur, CNRS-EP 1848, 45 Rue des Saints-Peres, 75270 Paris, France 3) INFN Sez. Firenze, via Sansone, 1-I-50019 Sesto Fiorentino, Italy 4) Dipartimento di Fisica, Universitá di Firenze, and Unitá INFM via Sansone, 1-I-50019 Sesto Fiorentino, Italy 5) Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, via Sansone, 1-I-50019 Sesto Fiorentino, Italy (literal)
Titolo
  • Stability of the splay state in pulse-coupled networks (literal)
Abstract
  • The stability of the dynamical states characterized by a uniform firing rate (splay states) is analyzed in a network of globally coupled leaky integrate-and-fire neurons. This is done by reducing the set of differential equations to a map that is investigated in the limit of large network size. We show that the stability of the splay state depends crucially on the ratio between the pulse width and the interspike interval. More precisely, the spectrum of Floquet exponents turns out to consist of three components: (i) one that coincides with the predictions of the mean-field analysis [Abbott and van Vreesvijk, Phys. Rev. E 48, 1483 (1993)], (ii) a component measuring the instability of 'finite-frequency' modes, (iii) a number of 'isolated' eigenvalues that are connected to the characteristics of the single pulse and may give rise to strong instabilities (the Floquet exponent being proportional to the network size). Finally, as a side result, we find that the splay state can be stable even for inhibitory coupling. (literal)
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