• DocumentCode
    724244
  • Title

    Stability and Hopf bifurcation in a delayed feedback control competitive websites model

  • Author

    Zunshui Cheng ; Dehao Li

  • Author_Institution
    Sch. of Math. & Phys., Qingdao Univ. of Sci. & Technol., Qingdao, China
  • fYear
    2015
  • fDate
    23-25 May 2015
  • Firstpage
    2888
  • Lastpage
    2893
  • Abstract
    This paper studies a dynamic model of two websites competition model with feedback control. Stability of the equilibrium and local Hopf bifurcation in delayed two websites competition model with feedback control are both investigated. The results showed that when the time delay is increase, the equilibrium will lose its stability and a sequence of Hopf bifurcations will occur. Numerical example illustrates the obtained results.
  • Keywords
    Web sites; bifurcation; feedback; nonlinear differential equations; stability; Hopf bifurcation; competitive Web sites model; delayed feedback control; stability; Bifurcation; Delay effects; Feedback control; Mathematical model; Numerical stability; Stability analysis; Steady-state; Hopf bifurcation; Stability; competitive websites model; feedback control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control and Decision Conference (CCDC), 2015 27th Chinese
  • Conference_Location
    Qingdao
  • Print_ISBN
    978-1-4799-7016-2
  • Type

    conf

  • DOI
    10.1109/CCDC.2015.7162419
  • Filename
    7162419