Chapman-enskog method and synchronization of globally coupled oscillators
@article{Bonilla2000ChapmanenskogMA,
title={Chapman-enskog method and synchronization of globally coupled oscillators},
author={Bonilla},
journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
year={2000},
volume={62 4 Pt A},
pages={
4862-8
}
}The Chapman-Enskog method of kinetic theory is applied to two problems of synchronization of globally coupled phase oscillators. First, a modified Kuramoto model is obtained in the limit of small inertia from a more general model that includes "inertial" effects. Second, a modified Chapman-Enskog method is used to derive the amplitude equation for an O(2) Takens-Bogdanov bifurcation corresponding to the tricritical point of the Kuramoto model with a bimodal distribution of oscillator natural…
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