• DocumentCode
    866799
  • Title

    A graphical construction of phase trajectories for \\ddot{x} +\\phi (\\dot{x} )g(x)+\\psi (\\dot{x} )h(x) = 0

  • Author

    Romer, E.

  • Author_Institution
    Wright-Patterson AFB, Dayton, OH, USA
  • Volume
    9
  • Issue
    4
  • fYear
    1964
  • fDate
    10/1/1964 12:00:00 AM
  • Firstpage
    581
  • Lastpage
    581
  • Abstract
    This communication provides a graphical technique for the construction of the equation \\ddot{x} + \\phi (dot{x})g(x) + \\psi (dot{x})h(x) = 0 . This technique can be carried out with, at most, two triangles and a compass and is suited to the construction of phase plane trajectories of nonlinear second-order differential equations.
  • Keywords
    Nonlinear differential equations; Automatic control; Books; Communication system control; Convergence; Differential equations; Fourier transforms; Geometry; Nonlinear equations;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1964.1105727
  • Filename
    1105727
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=866799