Local stability results for the collective behaviors of infinite populations of pulse-coupled oscillators

Alexandre Mauroy; Rodolphe Sepulchre

doi:10.1109/CDC.2011.6160621

Local stability results for the collective behaviors of infinite populations of pulse-coupled oscillators

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Article dans les actes d'une conférence/un colloque

Résumé

In this paper, we investigate the behavior of pulse-coupled integrate-and-fire oscillators. Because the stability analysis of finite populations is intricate, we investigate stability results in the approximation of infinite populations. In addition to recovering known stability results of finite populations, we also obtain new stability results for infinite populations. In particular, under a weak coupling assumption, we solve for the continuum model a conjecture still prevailing in the finite dimensional case.

langue originale	Anglais
titre	Proceedings of the 50th IEEE Conference on Decision and Control
Editeur	Institute of Electrical and Electronics Engineers Inc.
Pages	6754-6759
Nombre de pages	6
ISBN (imprimé)	9781612848006
Les DOIs	https://doi.org/10.1109/CDC.2011.6160621
Etat de la publication	Publié - 2011
Modification externe	Oui
Evénement	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, États-Unis Durée: 12 déc. 2011 → 15 déc. 2011

Une conférence

Une conférence	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Pays/Territoire	États-Unis
La ville	Orlando, FL
période	12/12/11 → 15/12/11

Accès au document

10.1109/CDC.2011.6160621

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title = "Local stability results for the collective behaviors of infinite populations of pulse-coupled oscillators",

abstract = "In this paper, we investigate the behavior of pulse-coupled integrate-and-fire oscillators. Because the stability analysis of finite populations is intricate, we investigate stability results in the approximation of infinite populations. In addition to recovering known stability results of finite populations, we also obtain new stability results for infinite populations. In particular, under a weak coupling assumption, we solve for the continuum model a conjecture still prevailing in the finite dimensional case.",

author = "Alexandre Mauroy and Rodolphe Sepulchre",

year = "2011",

doi = "10.1109/CDC.2011.6160621",

language = "English",

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booktitle = "Proceedings of the 50th IEEE Conference on Decision and Control",

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note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

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Mauroy, A & Sepulchre, R 2011, Local stability results for the collective behaviors of infinite populations of pulse-coupled oscillators. Dans Proceedings of the 50th IEEE Conference on Decision and Control., 6160621, Institute of Electrical and Electronics Engineers Inc., p. 6754-6759, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, États-Unis, 12/12/11. https://doi.org/10.1109/CDC.2011.6160621

Local stability results for the collective behaviors of infinite populations of pulse-coupled oscillators. / Mauroy, Alexandre; Sepulchre, Rodolphe.
Proceedings of the 50th IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers Inc., 2011. p. 6754-6759 6160621.

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Article dans les actes d'une conférence/un colloque

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AB - In this paper, we investigate the behavior of pulse-coupled integrate-and-fire oscillators. Because the stability analysis of finite populations is intricate, we investigate stability results in the approximation of infinite populations. In addition to recovering known stability results of finite populations, we also obtain new stability results for infinite populations. In particular, under a weak coupling assumption, we solve for the continuum model a conjecture still prevailing in the finite dimensional case.

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BT - Proceedings of the 50th IEEE Conference on Decision and Control

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Local stability results for the collective behaviors of infinite populations of pulse-coupled oscillators

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