Title :
Qualitative analysis and bifurcations in system dynamics models
Author_Institution :
Escuela Superior de Ingenieros Ind., Sevilla Univ., Spain
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;
Journal_Title :
Systems, Man and Cybernetics, IEEE Transactions on
DOI :
10.1109/TSMC.1984.6313345
