Clustering behaviors in networks of integrate-and-fire oscillators

Research output: Contribution to journalArticle

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.

Original languageEnglish
Article number037122
JournalChaos
Volume18
Issue number3
DOIs
Publication statusPublished - 2008
Externally publishedYes

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Fires
Integrate
oscillators
Clustering
Synchronization
complement
synchronism
Global Convergence
Complement
Robustness
Partial
pulses
Decrease
Model

Cite this

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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.",
author = "Alexandre Mauroy and Rodolphe Sepulchre",
year = "2008",
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journal = "Chaos: an interdisciplinary journal of nonlinear science",
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Clustering behaviors in networks of integrate-and-fire oscillators. / Mauroy, Alexandre; Sepulchre, Rodolphe.

In: Chaos, Vol. 18, No. 3, 037122, 2008.

Research output: Contribution to journalArticle

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AB - 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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