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    Conditions for the existence of fixed points in a finite system of Kuramoto oscillators.


    Verwoerd, Mark and Mason, Oliver (2007) Conditions for the existence of fixed points in a finite system of Kuramoto oscillators. In: Proceedings of the 2007 American Control Conference, Marriott Marquis Hotel at Times Square, New York City, USA, July 11-13, 2007. IEEE, pp. 4613-4618. ISBN 1-4244-0988-8

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    Abstract

    We present new necessary and sufficient conditions for the existence of fixed points in a finite system of coupled phase oscillators on a complete graph. We use these conditions to derive bounds on the critical coupling.

    Item Type: Book Section
    Additional Information: "©2007 IEEE. Reprinted from Proceedings of the 2007 American Control Conference, Marriott Marquis Hotel at Times Square, New York City, USA, July 11-13, 2007. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE." http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4282532&isnumber=4282135
    Keywords: Oscillators; Kuramoto oscillators; Coupled phase oscillators; Critical coupling bounds; ACC '07; Hamilton Isntitute.
    Academic Unit: Faculty of Science and Engineering > Biology
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 1715
    Depositing User: Hamilton Editor
    Date Deposited: 02 Dec 2009 14:55
    Publisher: IEEE
    Refereed: Yes
    URI:

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