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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.
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