• DocumentCode
    975894
  • Title

    Using characteristic multiplier loci to predict bifurcation phenomena and chaos-a tutorial

  • Author

    Duchesne, Laurent

  • Author_Institution
    Ecole Nat. Superieure de l´´Aeronaut. et de l´´Espace, Toulouse, France
  • Volume
    40
  • Issue
    10
  • fYear
    1993
  • fDate
    10/1/1993 12:00:00 AM
  • Firstpage
    683
  • Lastpage
    688
  • Abstract
    Presents a tutorial on the interpretation and applications of characteristic multipliers (CMs). It gives a definition of this concept and its applications using Chua´s circuit as a vehicle of illustration. Two basic bifurcation routes to chaos are studied: period doubling and transition to torus
  • Keywords
    bifurcation; chaos; limit cycles; nonlinear dynamical systems; nonlinear network analysis; Chua´s circuit; bifurcation phenomena; chaos; characteristic multiplier loci; period doubling; transition to torus; Bifurcation; Chaos; Circuits; Electric breakdown; Equations; Helium; Limit-cycles; Mobile robots; Remotely operated vehicles; Tutorial;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.246143
  • Filename
    246143
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=975894