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Clustering behaviors in networks of integrate-and-fire oscillators

Mauroy, A and Sepulchre, R (2008) Clustering behaviors in networks of integrate-and-fire oscillators. Chaos, 18. ISSN 1054-1500

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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. © 2008 American Institute of Physics.

Item Type: Article
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:15
Last Modified: 09 Sep 2021 01:33
DOI: 10.1063/1.2967806