Article (Scientific journals)
Clustering behaviors in networks of integrate-and-fire oscillators
Mauroy, Alexandre; Sepulchre, Rodolphe
2008In Chaos, 18, p. 037122
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Keywords :
neural networks; integrate-and-fire oscillators; clustering
Abstract :
[en] Clustering behavior is studied in a model of integrate-and-fire oscillators with excitatory pulse coupling. When considering a population of identical oscillators, the main result is a proof of global convergence to a phase-locked clustered behavior. The robustness of this clustering behavior is then investigated in a population of nonidentical oscillators by studying the transition from total clustering to the absence of clustering as the group coherence decreases. A robust intermediate situation of partial clustering, characterized by few oscillators traveling among nearly phase-locked clusters, is of particular interest. The analysis complements earlier studies of synchronization in a closely related model.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Mathematics
Author, co-author :
Mauroy, Alexandre ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Sepulchre, Rodolphe ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Language :
English
Title :
Clustering behaviors in networks of integrate-and-fire oscillators
Publication date :
September 2008
Journal title :
Chaos
ISSN :
1054-1500
eISSN :
1089-7682
Publisher :
American Institute of Physics, Melville, United States - New York
Volume :
18
Pages :
037122
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
Available on ORBi :
since 21 December 2009

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