• DocumentCode
    2000638
  • Title

    Bifurcation phenomena and chaotic oscillations in a system described by the Duffing-Van der Pol´s equation

  • Author

    Yamaguchi, Kenjiro ; Shibayama, Hiroshi

  • Author_Institution
    Fac. of Eng., Osaka Inst. of Technol., Japan
  • fYear
    1989
  • fDate
    14-16 Aug 1989
  • Firstpage
    1230
  • Abstract
    Bifurcation of periodic oscillations and chaotic states in a system described by the Duffing-van der Pol´s equation are considered. Bifurcation sets of periodic solutions are calculated using digital computers. The structure of invariant curves in the harmonic entrained region is studied. The strange attractor and the strange repeller obtained in the system are given. Correlations between chaotic oscillations and unstable periodic points are considered
  • Keywords
    chaos; circuit oscillations; nonlinear network analysis; stability; Duffing-Van der Pol´s equation; bifurcation phenomena; chaotic oscillations; harmonic entrained region; invariant curves; periodic oscillations; strange attractor; strange repeller; unstable periodic points; Bifurcation; Chaos; Density estimation robust algorithm; Frequency; Nonlinear equations; Oscillators; Periodic structures; Steady-state;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on
  • Conference_Location
    Champaign, IL
  • Type

    conf

  • DOI
    10.1109/MWSCAS.1989.102078
  • Filename
    102078
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2000638