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

Alexandre Mauroy, Rodolphe Sepulchre

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationProceedings of the 50th IEEE Conference on Decision and Control
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6754-6759
Number of pages6
ISBN (Print)9781612848006
DOIs
Publication statusPublished - 2011
Externally publishedYes
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: 12 Dec 201115 Dec 2011

Conference

Conference2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
CountryUnited States
CityOrlando, FL
Period12/12/1115/12/11

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