Journal
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
Volume 10, Issue 3, Pages 906-920Publisher
SIAM PUBLICATIONS
DOI: 10.1137/090771946
Keywords
coupled oscillators; synchronization; phase-locking; Kuramoto model; convergence
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We prove a convergence result for the standard Kuramoto model with all-to-all coupling. Specifically, we show that the critical coupling strength associated with the onset of completely phase-locked behavior converges in probability as the number of oscillators tends to infinity.
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