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

2014/03/22 by Peng Ji, Thomas K. DM. Peron, Francisco A. Rodrigues +1 · 2 citations
Physics and Astronomy · #nlin.AO #physics.data-an

paper · pdf · doi:10.1038/srep04783

6 figures

arxiv created 2014/03/22 · arxiv updated 2014/07/25

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.

Cited by

• Birth and breakdown of breathing and rotobreathing cyclops states in Kuramoto networks with higher-mode coupling
• A Synchronized Spin Model for Black-Hole Accretion Systems

Related

• The Kuramoto model in complex networks
• Low dimensional behaviour of generalized Kuramoto model
• Second-order Kuramoto model with adaptive simplicial complex
• Synchronization of coupled second-order Kuramoto-Sakaguchi oscillators
• Exponential synchronization of the Kuramoto model with inertia and frustration under locally coupled network