• DocumentCode
    869981
  • Title

    Phase-plane analysis by isocentric curves

  • Author

    Power, H.M.

  • Author_Institution
    Royal College of Advanced Technology, Department of Electrical Engineering, Salford, UK
  • Volume
    2
  • Issue
    11
  • fYear
    1966
  • fDate
    11/1/1966 12:00:00 AM
  • Firstpage
    398
  • Lastpage
    399
  • Abstract
    A general approach to phase-plane analysis of the equation ÿ+f(u, u¿)= 0, complementary to the method of isoclines, is presented. The idea is to map the plane with a family of curves, termed isocentrics. Each curve, associated with a point termed its isocentre, has the property that a trajectory crossing it at any point is tangential to a clockwise arc struck from the isocentre. Examples illustrate the method.
  • Keywords
    mathematics; servomechanisms;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:19660334
  • Filename
    4206999