• DocumentCode
    1535289
  • Title

    Analysis of stability and bifurcations of limit cycles in Chua´s circuit through the harmonic-balance approach

  • Author

    Bonani, Fabrizio ; Gilli, Marco

  • Author_Institution
    Dipt. di Elettronica, Politecnico di Torino, Italy
  • Volume
    46
  • Issue
    8
  • fYear
    1999
  • fDate
    8/1/1999 12:00:00 AM
  • Firstpage
    881
  • Lastpage
    890
  • Abstract
    This paper presents a spectral approach, based on the harmonic-balance technique, for detecting limit-cycle bifurcations in complex nonlinear circuits. The key step of the proposed approach is a method for a simple and effective computation of the Floquet multipliers (FMs) that yield stability and bifurcation conditions. As a case-study, a quite complex system, Chua´s circuit, is considered. It is shown that the spectral approach is able to accurately evaluate the most significant bifurcation curves
  • Keywords
    Chua´s circuit; bifurcation; circuit stability; harmonic analysis; limit cycles; nonlinear network analysis; Chua´s circuit; Floquet multiplier; bifurcation; harmonic balance technique; limit cycle; nonlinear circuit; spectral analysis; stability; Bifurcation; Circuit stability; Equations; Frequency domain analysis; Harmonic analysis; Limit-cycles; Microwave oscillators; Nonlinear circuits; Nonlinear systems; Stability analysis;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.780370
  • Filename
    780370