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

Mauroy, A and Sepulchre, R (2011) Local stability results for the collective behaviors of infinite populations of pulse-coupled oscillators. In: UNSPECIFIED pp. 6754-6759..

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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. © 2011 IEEE.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:46
Last Modified: 08 Dec 2014 02:19
DOI: 10.1109/CDC.2011.6160621