• DocumentCode
    1699957
  • Title

    Co-dimension 1 Bifurcations of the Delayed Internet TCP-RED Model

  • Author

    Lijun, Pei ; Li, Zhang ; Ruimin, Wang

  • Author_Institution
    Dept. of Math., Zhengzhou Univ., Zhengzhou, China
  • fYear
    2010
  • Firstpage
    565
  • Lastpage
    569
  • Abstract
    In this paper, dynamics of the delayed Internet TCP-RED congestion control model is considered employing the analysis software of the delayed dynamical systems-DDE-BIFTOOL. The transmission delay τ1 can make it subject to Hopf and Fold bifurcation, thus the averaged queue length and arrival rate would be the approximately constant or vary periodically. The important effects of the transmission delay τ1 on the dynamics of the system are disclosed.
  • Keywords
    Internet; bifurcation; telecommunication congestion control; transport protocols; Hopf bifurcation; co-dimension 1 bifurcation; delayed Internet TCP-RED congestion control model; delayed dynamical systems-DDE-BIFTOOL; fold bifurcation; random early detection; transfer control protocol; transmission delay; Bifurcation; Delay; Delay effects; Eigenvalues and eigenfunctions; Internet; Mathematical model; Fold bifurcation; Hopf bifurcation; TCP-RED model; congestion control; time delay;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multimedia Information Networking and Security (MINES), 2010 International Conference on
  • Conference_Location
    Nanjing, Jiangsu
  • Print_ISBN
    978-1-4244-8626-7
  • Electronic_ISBN
    978-0-7695-4258-4
  • Type

    conf

  • DOI
    10.1109/MINES.2010.124
  • Filename
    5670886