Contraction of monotone phase-coupled oscillators
Dynamical Systems
2012-10-01 v3
Abstract
This paper establishes a global contraction property for networks of phase-coupled oscillators characterized by a monotone coupling function. The contraction measure is a total variation distance. The contraction property determines the asymptotic behavior of the network, which is either finite-time synchronization or asymptotic convergence to a splay state.
Cite
@article{arxiv.1205.3826,
title = {Contraction of monotone phase-coupled oscillators},
author = {Alexandre Mauroy and Rodolphe Sepulchre},
journal= {arXiv preprint arXiv:1205.3826},
year = {2012}
}
Comments
10 pages