• DocumentCode
    1178036
  • Title

    Is the quadrature oscillator a multivibrator?

  • Author

    Lindberg, E.

  • Author_Institution
    Tech. Univ. of Denmark, Kongens Lyngby, Denmark
  • Volume
    20
  • Issue
    6
  • fYear
    2004
  • Firstpage
    23
  • Lastpage
    28
  • Abstract
    The aim of this article is to give insight into the mechanisms behind the behavior of oscillators from a new angle, introducing the idea of "frozen eigenvalues." This approach is based on piecewise-linear modelling and a study of the eigenvalues of the time varying linearized Jacobian of the nonlinear differential equations describing the oscillator. A multivibrator and a quadrature oscillator are used as test examples. The mechanisms behind the oscillations of the two circuits are compared.
  • Keywords
    eigenvalues and eigenfunctions; multivibrators; nonlinear differential equations; oscillators; piecewise linear techniques; frozen eigenvalues; multivibrator; nonlinear differential equations; piecewise-linear modelling; quadrature oscillator; time varying linearized Jacobian; Circuits; Differential equations; Eigenvalues and eigenfunctions; Feeds; Frequency; Jacobian matrices; Oscillators; Piecewise linear techniques; Power supplies; Steady-state;
  • fLanguage
    English
  • Journal_Title
    Circuits and Devices Magazine, IEEE
  • Publisher
    ieee
  • ISSN
    8755-3996
  • Type

    jour

  • DOI
    10.1109/MCD.2004.1364772
  • Filename
    1364772
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1178036