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Local stability results for the collective behaviors of infinite populations of pulse-coupled oscillators
Mauroy, Alexandre; Sepulchre, Rodolphe
2011In Proceedings of the IEEE Conference on Decision and Control, p. 6754-6759
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Keywords :
Collective behavior; Continuum model; Finite dimensional; Finite population; Integrate and fires; Local stability; Pulse-coupled oscillators; Stability analysis; Stability results; Weak couplings; Continuum mechanics; Stability
Abstract :
[en] 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.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Mathematics
Author, co-author :
Mauroy, Alexandre ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Sepulchre, Rodolphe ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Language :
English
Title :
Local stability results for the collective behaviors of infinite populations of pulse-coupled oscillators
Publication date :
2011
Event name :
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Event place :
Orlando, FL, United States
Event date :
12 December 2011 through 15 December 2011
Audience :
International
Journal title :
Proceedings of the IEEE Conference on Decision and Control
ISSN :
0191-2216
Pages :
6754-6759
Peer reviewed :
Peer reviewed
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