DocumentCode
1850204
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
fYear
2008
fDate
18-21 Nov. 2008
Firstpage
3028
Lastpage
3032
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ICYCS.2008.113
Filename
4709467
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