Title :
BIFDE: software for the investigation of the Hopf bifurcation problem in functional differential equations
Author :
Aboud, Nihal ; Sathaye, Archana ; Stech, Harlan
Author_Institution :
Dept. of Math. & Stat., Minnesota Univ., Duluth, MN, USA
Abstract :
A Fortran package, BIFDE, which assists in the Hopf bifurcation analysis in systems of autonomous functional-differential equations, is described. Designed for flexibility, the program resolves generic and first-order nongeneric Hopf bifurcations in systems not necessarily of delay-difference (or even finite delay) form. The program´s capabilities are illustrated by its application to a nonlinear model of `chugging´ in liquid-propellant fuel rockets
Keywords :
FORTRAN; differential equations; mathematics computing; software packages; BIFDE; Fortran; Hopf bifurcation analysis; functional differential equations; liquid-propellant fuel rockets; mathematics computing; nonlinear model; software package; Bifurcation; Biology computing; Computer aided manufacturing; Delay; Differential equations; Fuels; Mathematics; Nonlinear equations; Packaging machines; Statistical analysis;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194426
