• DocumentCode
    3165119
  • Title

    Conditions for the Existence of Fixed Points in a Finite System of Kuramoto Oscillators

  • Author

    Verwoerd, Mark ; Mason, Oliver

  • Author_Institution
    Nat. Univ. of Ireland, Maynooth
  • fYear
    2007
  • fDate
    9-13 July 2007
  • Firstpage
    4613
  • Lastpage
    4618
  • 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.
  • Keywords
    oscillators; Kuramoto oscillators; coupled phase oscillators; critical coupling bounds; Cities and towns; Control systems; Lattices; Mathematical model; Mathematics; Network topology; Oscillators; Physics; Sufficient conditions; Systems engineering and theory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2007. ACC '07
  • Conference_Location
    New York, NY
  • ISSN
    0743-1619
  • Print_ISBN
    1-4244-0988-8
  • Electronic_ISBN
    0743-1619
  • Type

    conf

  • DOI
    10.1109/ACC.2007.4282532
  • Filename
    4282532
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3165119