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Publisher: London : Nature Publishing Group × Subject: Kuramoto model ×

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    Low-dimensional behavior of Kuramoto model with inertia in complex networks
    (London : Nature Publishing Group, 2014) Ji, P.; Peron, T.K.D.M.; Rodrigues, F.A.; Kurths, J.
    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.