• DocumentCode
    976001
  • Title

    Chua´s circuit: rigorous results and future problems

  • Author

    Shil´nikov, Leonid P.

  • Author_Institution
    Inst. for Appl. Maths. and Cybern., Novgorod, Russia
  • Volume
    40
  • Issue
    10
  • fYear
    1993
  • fDate
    10/1/1993 12:00:00 AM
  • Firstpage
    784
  • Lastpage
    786
  • Abstract
    This paper provides a mathematician´s perspective on Chua´s circuit as a paradigm for chaos. It explains why Chua´s circuit is of interest not only to radio physicists but to nonlinear scientists from other disciplines as well. It points out why the double-scroll Chua´s attractor, which has been proved rigorously to be chaotic in the sense of the Shil´nikov theorem, is fundamentally different and mathematically much more complicated than that of the Lorenz attractor
  • Keywords
    bifurcation; chaos; nonlinear network analysis; Chua´s circuit; Shilnikov theorem; chaos; double-scroll Chua´s attractor; Bifurcation; Chaos; Circuits; Differential equations; Diodes; Modems; Nonlinear dynamical systems; Orbits; Power system modeling; Stability;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.246153
  • Filename
    246153