The Kuramoto Model with Time-Varying Parameters
Chaotic Dynamics
2012-11-21 v3
Abstract
We introduce a generalization of the Kuramoto model by explicit consideration of time-dependent parameters. The oscillators' natural frequencies and/or couplings are supposed to be influenced by external, time-dependant fields, with constant or randomly-distributed strengths. As a result, the dynamics of an external system is being imposed on top of the autonomous one, a scenario that cannot be treated adequately by previous (adiabatic) approaches. We now propose an analysis which describes faithfully the overall dynamics of the system.
Cite
@article{arxiv.1107.3867,
title = {The Kuramoto Model with Time-Varying Parameters},
author = {Spase Petkoski and Aneta Stefanovska},
journal= {arXiv preprint arXiv:1107.3867},
year = {2012}
}
Comments
http://link.aps.org/doi/10.1103/PhysRevE.86.046212