The Kuramoto model of coupled oscillators with a bi-harmonic coupling function
Chaotic Dynamics
2015-06-19 v1 Adaptation and Self-Organizing Systems
Abstract
We study synchronization in a Kuramoto model of globally coupled phase oscillators with a bi-harmonic coupling function, in the thermodynamic limit of large populations. We develop a method for an analytic solution of self-consistent equations describing uniformly rotating complex order parameters, both for single-branch (one possible state of locked oscillators) and multi-branch (two possible values of locked phases) entrainment. We show that synchronous states coexist with the neutrally linearly stable asynchronous regime. The latter has a finite life time for finite ensembles, this time grows with the ensemble size as a power law.
Cite
@article{arxiv.1404.7292,
title = {The Kuramoto model of coupled oscillators with a bi-harmonic coupling function},
author = {M. Komarov and A. Pikovsky},
journal= {arXiv preprint arXiv:1404.7292},
year = {2015}
}