Global phase-locking in finite populations of phase-coupled oscillators
Dynamical Systems
2009-11-13 v1 Classical Analysis and ODEs
Abstract
We present new necessary and sufficient conditions for the existence of fixed points in a finite system of coupled phase oscillators on a complete graph. We use these conditions to derive bounds on the critical coupling.
Keywords
Cite
@article{arxiv.0709.1558,
title = {Global phase-locking in finite populations of phase-coupled oscillators},
author = {Mark Verwoerd and Oliver Mason},
journal= {arXiv preprint arXiv:0709.1558},
year = {2009}
}
Comments
31 pages; to appear in SIAM journal of dynamical systems (SIADS)