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Title: Low-dimensional behavior of Kuramoto model with inertia in complex networks
Authors: Ji, P.Peron, T.K.D.M.Rodrigues, F.A.Kurths, J.
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Issue Date: 2014
Published in: Scientific Reports Vol. 4 (2014)
Publisher: London : Nature Publishing Group
Abstract: Low-dimensional behavior of large systems of globally coupled oscillators has been intensively investigated since the introduction of the Ott-Antonsen ansatz. In this report, we generalize the Ott-Antonsen ansatz to second-order Kuramoto models in complex networks. With an additional inertia term, we find a low-dimensional behavior similar to the first-order Kuramoto model, derive a self-consistent equation and seek the time-dependent derivation of the order parameter. Numerical simulations are also conducted to verify our analytical results.
Keywords: large systems; Ott-Antonsen ansatz; Kuramoto model
DDC: 530
License: CC BY-NC-ND 3.0 Unported
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