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Local stability results for the collective behaviors of infinite populations of pulse-coupled oscillators
2011
IEEE Conference on Decision and Control and European Control Conference
In this paper, we investigate the behavior of pulsecoupled 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.
doi:10.1109/cdc.2011.6160621
dblp:conf/cdc/MauroyS11
fatcat:scxx2bkqrzcalpoiewkbfxnbnq