Name
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. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/CDC.2011.6160621 | CDC-ECE |
Keywords | Field | DocType |
multidimensional systems,oscillators,stability,collective behaviors,continuum model,finite dimensional case,infinite population,local stability,pulse-coupled integrate-and-fire oscillator,stability analysis,weak coupling assumption | Statistical physics,Collective behavior,Oscillation,Coupling,Control theory,Continuum mechanics,Continuum (design consultancy),Conjecture,Mathematics,Multidimensional systems | Conference |
ISSN | Citations | PageRank |
0743-1546 | 0 | 0.34 |
References | Authors | |
1 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alexandre Mauroy | 1 | 59 | 8.21 |
| Rodolphe Sepulchre | 2 | 1478 | 140.85 |