• DocumentCode
    1463807
  • Title

    Floquet analysis of the intermittence route to chaos through a pitchfork bifurcation

  • Author

    Sancho, Sergio ; Suarez, Almudena ; Roman, Pablo San

  • Author_Institution
    Dept. Ingeniera de Comunicaciones, Cantabria Univ., Santander, Spain
  • Volume
    48
  • Issue
    3
  • fYear
    2001
  • fDate
    3/1/2001 12:00:00 AM
  • Firstpage
    374
  • Lastpage
    377
  • Abstract
    In this paper, the Floquet theory is combined with harmonic balance for the in-depth analysis of a Chua´s family circuit, exhibiting intermittence. Floquet multipliers are calculated along the periodic solution paths obtained through harmonic balance by means of a continuation algorithm. The analysis of both the stable and unstable solution sections enhances the information about the system and permits a better understanding of the different phenomena that take place
  • Keywords
    Chua´s circuit; bifurcation; chaos; circuit stability; harmonic analysis; Chua´s family circuit; Floquet analysis; chaos; continuation algorithm; harmonic balance; intermittence route; pitchfork bifurcation; stable solution sections; unstable solution sections; Bifurcation; Chaos; Chaotic communication; Circuits; Cryptography; Gyrators; Oscillators; Resistors; Robustness; Signal design;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.915394
  • Filename
    915394