• DocumentCode
    2886879
  • Title

    Period doubling and period plus one law-chaotic phenomena in similar Chua´s circuit

  • Author

    Anshan, Huang

  • Author_Institution
    Shanghai Inst. of Mech. Eng., China
  • fYear
    1991
  • fDate
    16-17 Jun 1991
  • Firstpage
    736
  • Abstract
    The author describes some interesting phenomena discovered in a similar Chua´s circuit. First he looks briefly at the circuit structure and state equation, and then determines the possible chaotic behavior from the property of the eigenvalues according to Shilnikov theorem. Some valuable results are obtained by both experiments and spectrum analysis, i.e., period doubling leads to chaos from the equilibrium and then it obeys the law of period-chaos-period plus 1. Finally, a bifurcation formula is given and a possible numerical range leading to chaos from bifurcation is offered when parameter G is changed
  • Keywords
    chaos; eigenvalues and eigenfunctions; nonlinear network analysis; spectral analysis; Chua´s circuit; Shilnikov theorem; bifurcation formula; chaotic phenomena; eigenvalues; period doubling; period plus one law; spectrum analysis; state equation; Bifurcation; Chaos; Circuits; Equations; Motion analysis; Resistors; Voltage;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1991. Conference Proceedings, China., 1991 International Conference on
  • Conference_Location
    Shenzhen
  • Type

    conf

  • DOI
    10.1109/CICCAS.1991.184464
  • Filename
    184464