• Title of article

    Bogdanov–Takens singularity in Van der Pol’s oscillator with delayed feedback

  • Author/Authors

    Jiang، نويسنده , , Weihua and Yuan، نويسنده , , Yuan، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2007
  • Pages
    13
  • From page
    149
  • To page
    161
  • Abstract
    In this paper, we study the classical Van der Pol’s equation with delayed feedback. We investigate the Bogdanov–Takens singularity and bifurcation occurring in the system with the variation of the original parameters by using the normal form method, and predict the suitable choice in the feedback control in order to obtain the asymptotic stable state.
  • Keywords
    Delayed feedback , Bogdanov–Takens bifurcation , Van der Pol’s equation , Normal form , Singularity
  • Journal title
    Physica D Nonlinear Phenomena
  • Serial Year
    2007
  • Journal title
    Physica D Nonlinear Phenomena
  • Record number

    1728133