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    A Convergence Result for the Kuramoto Model with All-to-All Coupling


    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: 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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