Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses

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dc.creatorArai, Kensuke
dc.creatorNakao, Hiroya
dc.date2008-02-26
dc.date.accessioned2026-07-07T12:51:05Z
dc.date.available2026-07-07T12:51:05Z
dc.descriptionAn ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses shows a range of non-trivial behavior, from synchronization, desynchronization, to clustering. The group behavior that arises in the ensemble can be predicted from the phase response of a single oscillator to a given impulsive perturbation. We present a theory based on phase reduction of a jump stochastic process describing a Poisson-driven limit-cycle oscillator, and verify the results through numerical simula- tions and electric circuit experiments. We also give a geometrical interpretation of the synchronizing mechanism, a perturbative expansion to the stationary phase distribution, and the diffusion limit of our jump stochastic model.
dc.identifierhttps://arxiv.org/abs/0802.3758
dc.identifierhttp://arxiv.org/abs/0802.3758
dc.identifierPHYSICAL REVIEW E 77, 036218 2008
dc.identifierdoi:10.1103/PhysRevE.77.036218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222882
dc.subjectAdaptation and Self-Organizing Systems
dc.titlePhase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses
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