Low-dimensional behavior of Kuramoto model with inertia in complex networks
Adaptation and Self-Organizing Systems
2014-07-25 v1 Data Analysis, Statistics and Probability
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.
Cite
@article{arxiv.1403.5705,
title = {Low-dimensional behavior of Kuramoto model with inertia in complex networks},
author = {Peng Ji and Thomas K. DM. Peron and Francisco A. Rodrigues and Jürgen Kurths},
journal= {arXiv preprint arXiv:1403.5705},
year = {2014}
}
Comments
6 figures