• DocumentCode
    3384442
  • Title

    Resonant codimension-two bifurcation for van der Pol equation with different discrete-time delays

  • Author

    Li, Shaowen

  • Author_Institution
    Sch. of Econ. Math., Southwestern Univ. of Finance & Econ., Chengdu, China
  • fYear
    2009
  • fDate
    23-25 July 2009
  • Firstpage
    1160
  • Lastpage
    1164
  • Abstract
    The van der Pol equation with different discrete-time delay is analyzed. The resonant codimension-two bifurcation can be found, at which the transcendental characteristic equation possesses two pairs of pure imaginary roots, plusmniomega1, plusmn iomega2 with omega1 : omega2 = m:n, where m and n are positive integers. Some numerical simulation examples for justifying the theoretical analysis are also given.
  • Keywords
    bifurcation; discrete time systems; nonlinear network analysis; relaxation oscillators; discrete-time delays; positive integers; resonant codimension-two bifurcation; transcendental characteristic equation; van der Pol equation; Bifurcation; Biological system modeling; Delay effects; Differential equations; Finance; Mathematics; Nonlinear equations; Numerical simulation; Poles and zeros; Resonance;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communications, Circuits and Systems, 2009. ICCCAS 2009. International Conference on
  • Conference_Location
    Milpitas, CA
  • Print_ISBN
    978-1-4244-4886-9
  • Electronic_ISBN
    978-1-4244-4888-3
  • Type

    conf

  • DOI
    10.1109/ICCCAS.2009.5250308
  • Filename
    5250308
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3384442