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Published on: June 29, 2018
Clustering behaviors in networks of integrate-and-fire oscillators
Alexandre Mauroy1, Rodolphe Sepulchre
1Department of Electrical Engineering and Computer Science, University of Liege, B-4000 Liege, Belgium. Alexandre.Mauroy@ulg.ac.be
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.
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