Title :
A Poincaré-Lindstedt approach to bifurcation problems for differential-delay equations
Author :
Casal, A. ; Freedman, M.
Author_Institution :
Universitaria de Madrid, Madrid, Spain
fDate :
10/1/1980 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1980.1102450