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 |
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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: |
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