DocumentCode
2531303
Title
Hopf Bifurcation in Genesio System with Delayed Feedback
Author
Guan, Junbiao ; Chen, Fangyue
Author_Institution
Sch. of Sci., Hangzhou Dianzi Univ., Hangzhou, China
fYear
2011
fDate
19-22 Oct. 2011
Firstpage
8
Lastpage
12
Abstract
In this paper, we investigate the local Hopf bifurcation in Genesio system with delayed feedback control. We choose the delay as the parameter, and the occurrence of local Hopf bifurcations are verified. By using the normal form theory and the center manifold theorem, we obtain the explicit formulae for determining the stability and direction of bifurcated periodic solutions. Numerical simulations indicate that delayed feedback control plays an effective role in control of chaos.
Keywords
bifurcation; chaos; delays; feedback; periodic control; stability; Genesio system; bifurcated periodic solutions; center manifold theorem; chaos control; delayed feedback control; explicit formulae; local Hopf bifurcations; normal form theory; stability; Bifurcation; Chaos; Delay; Feedback control; Fractals; Synchronization; Delay; Hopf bifurcation.; chaos; stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on
Conference_Location
Hangzhou
Print_ISBN
978-1-4577-1798-7
Type
conf
DOI
10.1109/IWCFTA.2011.38
Filename
6093481
Link To Document