• DocumentCode
    833633
  • Title

    A Poincaré-Lindstedt approach to bifurcation problems for differential-delay equations

  • Author

    Casal, A. ; Freedman, M.

  • Author_Institution
    Universitaria de Madrid, Madrid, Spain
  • Volume
    25
  • Issue
    5
  • fYear
    1980
  • fDate
    10/1/1980 12:00:00 AM
  • Firstpage
    967
  • Lastpage
    973
  • Abstract
    In this paper we shall develop a small parameter perturbation technique which can be used in the study of bifurcation phenomena for differential delay systems. Our analysis is styled along the lines of the method of Poincaré-Lindstedt for ordinary differential equations and can be viewed as a generalization of this method to differential delay equations.
  • Keywords
    Delay systems; Nonlinear systems, continuous-time; Perturbation methods; Bifurcation; Content addressable storage; Delay systems; Differential equations; Mathematics; Nonlinear equations; Null space; Polynomials; Stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1980.1102450
  • Filename
    1102450