http://www.cnr.it/ontology/cnr/individuo/prodotto/ID57515
Stability of splay states in globally coupled rotators (Articolo in rivista)
- Type
- Label
- Stability of splay states in globally coupled rotators (Articolo in rivista) (literal)
- Anno
- 2009-01-01T00:00:00+01:00 (literal)
- Alternative label
Calamai M.; Politi A.; Torcini A. (2009)
Stability of splay states in globally coupled rotators
in Physical review. E, Statistical, nonlinear, and soft matter physics (Print)
(literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Calamai M.; Politi A.; Torcini A. (literal)
- Pagina inizio
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
- Rivista
- 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) INFN Sez. Firenze, via Sansone 1, I-50019 Sesto Fiorentino, Italy
3) Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, via Sansone 1, I-50019 Sesto Fiorentino, Italy (literal)
- Titolo
- Stability of splay states in globally coupled rotators (literal)
- Abstract
- The stability of dynamical states characterized by a uniform firing rate (splay states) is analyzed in a network of N globally pulse-coupled rotators (neurons) subject to a generic velocity field. In particular, we analyze short-wavelength modes that were known to be marginally stable in the infinite N limit and show that the corresponding Floquet exponent scale as 1/N2. Moreover, we find that the sign, and thereby the stability, of this spectral component is determined by the sign of the average derivative of the velocity field. For leaky-integrate-and-fire neurons, an analytic expression for the whole spectrum is obtained. In the intermediate case of continuous velocity fields, the Floquet exponents scale faster than 1/N2 (namely, as 1/N4) and we even find strictly neutral directions in a wider class than the sinusoidal velocity fields considered by Watanabe and Strogatz [Physica D 74, 197 (1994)]. (literal)
- Prodotto di
- Autore CNR
Incoming links:
- Autore CNR di
- Prodotto
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi