title: Clustering behaviors in networks of integrate-and-fire oscillators.
abstract: 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.
authors.affiliation: Department of Electrical Engineering and Computer Science, University of Liege, B-4000 Liege, Belgium. Alexandre.Mauroy@ulg.ac.be
authors.forename: Alexandre
authors.initials: A
authors.lastname: Mauroy
authors.forename: Rodolphe
authors.initials: R
authors.lastname: Sepulchre
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D001921:Brain / Q000502:physiology*; D016000:Cluster Analysis; D003198:Computer Simulation; D005246:Feedback; D006801:Humans; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*; D009435:Synaptic Transmission / Q000502:physiology*