• DocumentCode
    696340
  • Title

    Center manifold analysis of the delayed Liénard equation

  • Author

    Siming Zhao ; Kalmar-Nagy, Tamas

  • Author_Institution
    Dept. of Aerosp. Eng., Texas A&M Univ., College Station, TX, USA
  • fYear
    2009
  • fDate
    23-26 Aug. 2009
  • Firstpage
    3581
  • Lastpage
    3586
  • Abstract
    We show the existence of Hopf bifurcation in the delayed Liénard equation. The criterion for the criticality of the Hopf bifurcation is given based on the reduction of the infinite-dimensional problem onto a two-dimensional center manifold. Numerics are provided to verify our theoretical calculation. Application of this technique is discussed via a delayed Liénard oscillator.
  • Keywords
    bifurcation; delays; numerical analysis; Hopf bifurcation; center manifold analysis; delayed Lienard equation; delayed Lienard oscillator; infinite-dimensional problem; two-dimensional center manifold; Bifurcation; Delays; Manifolds; Mathematical model; Stability analysis; Vibrations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2009 European
  • Conference_Location
    Budapest
  • Print_ISBN
    978-3-9524173-9-3
  • Type

    conf

  • Filename
    7074955
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=696340