Verwoerd, Mark and Mason, Oliver
(2011)
A Convergence Result for the Kuramoto Model with All-to-All Coupling.
SIAM Journal on Applied Dynamical Systems, 10 (3).
pp. 906-920.
ISSN 1536-0040
Abstract
We prove a convergence result for the standard Kuramoto model with all-to-all coupling. Specifically,
we show that the critical coupling strength associ
ated with the onset of completely phase-locked
behavior converges in probability as the number of oscillators tends to infinity.
| Item Type: |
Article
|
| Keywords: |
coupled oscillators; synchronization; phase-locking; Kuramoto model; convergence; |
| Academic Unit: |
Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: |
6058 |
| Identification Number: |
https://doi.org/10.1137/090771946 |
| Depositing User: |
Oliver Mason
|
| Date Deposited: |
22 Apr 2015 13:49 |
| Journal or Publication Title: |
SIAM Journal on Applied Dynamical Systems |
| Publisher: |
Society for Industrial and Applied Mathematics |
| Refereed: |
Yes |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
Repository Staff Only(login required)
 |
Item control page |
Downloads per month over past year
Origin of downloads
Altmetric
Altmetric