Low-dimensional behavior of Kuramoto model with inertia in complex   networks
  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. 
Peng Ji, Thomas K.DM. Peron, Francisco A. Rodrigues, J\"urgen Kurths
nlin.AO physics.data-an