• DocumentCode
    1300499
  • Title

    Qualitative analysis and bifurcations in system dynamics models

  • Author

    Aracil, Javier

  • Author_Institution
    Escuela Superior de Ingenieros Ind., Sevilla Univ., Spain
  • Issue
    4
  • fYear
    1984
  • Firstpage
    688
  • Lastpage
    696
  • Abstract
    The possibility of applying analysis methods based on the qualitative theory of differential equations to analyze system dynamics models is examined. With these methods, the dependency of the steady-state behavior of the system on the model parameter values can be studied. The proposed methodology is related to bifurcation theory. Some elementary system dynamics models are analyzed using the proposed methodology.
  • Keywords
    differential equations; nonlinear systems; system theory; bifurcations; differential equations; model parameter; models; qualitative theory; steady-state behavior; system dynamics; Analytical models; Bifurcation; Eigenvalues and eigenfunctions; Mathematical model; Nonlinear dynamical systems; Pollution;
  • fLanguage
    English
  • Journal_Title
    Systems, Man and Cybernetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9472
  • Type

    jour

  • DOI
    10.1109/TSMC.1984.6313345
  • Filename
    6313345