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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
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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: | 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 |
| Related URLs: | |
| 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 |
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