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arXiv · 1403.5705

Low-dimensional behavior of Kuramoto model with inertia in complex networks

Peng Ji·Thomas K. DM. Peron·Francisco A. Rodrigues·Jürgen Kurths
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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.

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Peng Ji, Thomas K. DM. Peron, Francisco A. Rodrigues, Jürgen Kurths. 2014-03-22. Low-dimensional behavior of Kuramoto model with inertia in complex networks. https://doi.org/10.1038/srep04783

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