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pubmed-article:19905202rdf:typepubmed:Citationlld:pubmed
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pubmed-article:19905202pubmed:issue3 Pt 2lld:pubmed
pubmed-article:19905202pubmed:dateCreated2009-11-12lld:pubmed
pubmed-article:19905202pubmed:abstractTextThe 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)].lld:pubmed
pubmed-article:19905202pubmed:languageenglld:pubmed
pubmed-article:19905202pubmed:journalhttp://linkedlifedata.com/r...lld:pubmed
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pubmed-article:19905202pubmed:statusMEDLINElld:pubmed
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pubmed-article:19905202pubmed:issn1550-2376lld:pubmed
pubmed-article:19905202pubmed:authorpubmed-author:PolitiAntonio...lld:pubmed
pubmed-article:19905202pubmed:authorpubmed-author:TorciniAlessa...lld:pubmed
pubmed-article:19905202pubmed:authorpubmed-author:CalamaiMassim...lld:pubmed
pubmed-article:19905202pubmed:issnTypeElectroniclld:pubmed
pubmed-article:19905202pubmed:volume80lld:pubmed
pubmed-article:19905202pubmed:ownerNLMlld:pubmed
pubmed-article:19905202pubmed:authorsCompleteYlld:pubmed
pubmed-article:19905202pubmed:pagination036209lld:pubmed
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pubmed-article:19905202pubmed:meshHeadingpubmed-meshheading:19905202...lld:pubmed
pubmed-article:19905202pubmed:year2009lld:pubmed
pubmed-article:19905202pubmed:articleTitleStability of splay states in globally coupled rotators.lld:pubmed
pubmed-article:19905202pubmed:affiliationIstituto dei Sistemi Complessi, CNR, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy. massimo.calamai@gmail.comlld:pubmed
pubmed-article:19905202pubmed:publicationTypeJournal Articlelld:pubmed
pubmed-article:19905202pubmed:publicationTypeResearch Support, Non-U.S. Gov'tlld:pubmed