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Chapman-Enskog method and synchronization of globally coupled oscillators | | L.L. Bonilla
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12 Jun 2000 | | Journal: | Phys. Rev. E 62, 4862-4868 (2000) | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | 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 which 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 frequencies. This latter calculation shows that the Chapman-Enskog method is a convenient alternative to normal form calculations. | | Source: | arXiv, cond-mat/0006195 | | Services: | Forum | Review | PDF | Favorites | |
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