IJCsatellite IJCsatellite/nlin

http://arxiv.org/abs/nlin/0505029

nlin.AO/0505029

From: Hiroya Nakao [view email]
Date: Thu, 12 May 2005 09:34:26 GMT   (393kb)

Synchrony of limit-cycle oscillators induced by random external impulses

Authors: H.Nakao, K.Arai, K.Nagai, Y.Tsubo, Y.Kuramoto

Comments: 18 pages, 9 figures

Subj-class: Adaptation and Self-Organizing Systems

The mechanism of phase synchronization between uncoupled limit-cycle oscillators induced by common external impulsive forcing is analyzed. By reducing the dynamics of the oscillator to a random phase map, it is shown that phase synchronization generally occurs when the oscillator is driven by weak external impulses in the limit of large inter-impulse intervals. The case where the inter-impulse intervals are finite is also analyzed perturbatively for small impulse intensity. For weak Poissonian impulses, it is shown that the phase synchronization persists up to the first order approximation.


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