• DocumentCode
    758437
  • Title

    The Determination of Time Intervals on Phase-Plane Trajectories

  • Author

    Earls, J.C.

  • Volume
    9
  • Issue
    1
  • fYear
    1966
  • fDate
    3/1/1966 12:00:00 AM
  • Firstpage
    37
  • Lastpage
    38
  • Abstract
    An analytical method is given for determining the time intervals between points on the phase-plane trajectory of linear second-order systems. The procedure uses the concept of elapsedtime loci and is particularly useful where nonlinear systems can be reduced to piecewise-linear form or where the forcing function is linearly time dependent.
  • Keywords
    Circuit theory; Damping; Differential equations; Frequency; Jacobian matrices; Nonlinear circuits; Nonlinear equations; Nonlinear systems; Piecewise linear techniques; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Education, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9359
  • Type

    jour

  • DOI
    10.1109/TE.1966.4321934
  • Filename
    4321934