Abstract
Splay states represent collective modes emerging in net-works of fully coupled oscillators, they have beenobserved in Josephson junction arrays, laser systems,pulse-coupled neuronal networks [1]. Recently, their sta-bility analysis has been redone by reducing a model ofglobally coupled differential equations to suitable event-driven maps which relate the internal configuration at twoconsecutive spike-emissions. [2]. This analysis hasrevealed that the mean-field analysis reported in [1] hasneglected a part of the Floquet spectrum associated toshort wavelengths (SW) modes.The aim of the present analysis is to show that the SW partof the Floquet spectrum can be crucial for the stability ofthe splay states in fully pulse-coupled networks whengeneric neuronal models, different from the usual leakyintegrate-and-fire (LIF) model are considered. For the LIFcase corresponding to a force field
Highlights
Address: 1Istituto dei Sistemi Complessi, CNR, Sesto Fiorentino, I-50019, Italy and 2Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Sesto Fiorentino, I-50019, Italy
Eighteenth Annual Computational Neuroscience Meeting: CNS*2009 Don H Johnson Meeting abstracts – A single PDF containing all abstracts in this Supplement is available here. http://www.biomedcentral.com/content/pdf/1471-2202-10-S1-info.pdf
Splay states represent collective modes emerging in networks of fully coupled oscillators, they have been observed in Josephson junction arrays, laser systems, pulse-coupled neuronal networks [1]
Summary
Address: 1Istituto dei Sistemi Complessi, CNR, Sesto Fiorentino, I-50019, Italy and 2Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Sesto Fiorentino, I-50019, Italy. Email: Alessandro Torcini* - alessandro.torcini.@cnr.it * Corresponding author from Eighteenth Annual Computational Neuroscience Meeting: CNS*2009 Berlin, Germany.
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