• DocumentCode
    3050664
  • Title

    Bifurcation and chaos in a simple feedback control system

  • Author

    Holmes, Pat

  • Author_Institution
    Cornell University, Ithaca, NY
  • fYear
    1983
  • fDate
    - Dec. 1983
  • Firstpage
    365
  • Lastpage
    370
  • Abstract
    We discuss local and global bifurcations exhibited by a second order oscillatory system with nonlinear restoring forces, when subject to first order linear feedback control. The resulting third order system exhibits codimension two bifurcations in which multiple limit cycles and homoclinic orbits are created. Moreover, when subject to periodic desired position feedback, chaotic responses are possible.
  • Keywords
    Bifurcation; Chaos; Feedback control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1983. The 22nd IEEE Conference on
  • Conference_Location
    San Antonio, TX, USA
  • Type

    conf

  • DOI
    10.1109/CDC.1983.269861
  • Filename
    4047567