Title :
Stability and Hopf Bifurcation in a Generalized Prototype Delayed System
Author :
Guan, Junbiao ; Guo, Shujuan ; Fu, Xinchu
Author_Institution :
Dept. of Math., Shanghai Univ., Shanghai
Abstract :
In this paper, a generalized kind of prototype delayed system is investigated. By analyzing the associated characteristic equation, its linear stability and the existence of Hopf bifurcation are demonstrated. Moreover, the stability and the direction of the Hopf bifurcation are determined by applying the normal form theory and the center manifold theorem. Finally, numerical simulations are presented to verify the analytical results.
Keywords :
bifurcation; delay systems; nonlinear systems; stability; Hopf bifurcation; center manifold theorem; generalized prototype delayed system; linear stability; normal form theory; Bifurcation; Chaos; Delay effects; Delay systems; Equations; Information science; Mathematics; Numerical simulation; Prototypes; Stability analysis; Stability; characteristic equation; delay; equilibrium; hopf bifurcation;
Conference_Titel :
Young Computer Scientists, 2008. ICYCS 2008. The 9th International Conference for
Conference_Location :
Hunan
Print_ISBN :
978-0-7695-3398-8
Electronic_ISBN :
978-0-7695-3398-8
DOI :
10.1109/ICYCS.2008.113
