• DocumentCode
    788762
  • Title

    Generalized isocline method of plotting phase-plane trajectories

  • Author

    Deekshatulu, B.L. ; Murphy, I.

  • Author_Institution
    Indian Institute of Science, Bangalore, India
  • Volume
    10
  • Issue
    1
  • fYear
    1965
  • fDate
    1/1/1965 12:00:00 AM
  • Firstpage
    90
  • Lastpage
    92
  • Abstract
    By considering simultaneously the N-x (or the N-\\dot{x} ), where N=\\ddot{x}/dx and the \\dot{x}-x planes, second order non-linear autonomous systems (not easily amendable to the existing methods) described by the differential equation \\ddot{x}=F(x, dot{x}) can be studied. Changes in system behavior due to changes in initial conditions, nonlinear dampling and restoring forces can easily be studied. Simple and general as it is, the method presented here is believed to be novel.
  • Keywords
    Nonlinear systems; Damping; Differential equations; Nonlinear equations; Nonlinear systems; Variable speed drives;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1965.1098064
  • Filename
    1098064