Title :
Hopf Bifurcation in Genesio System with Delayed Feedback
Author :
Guan, Junbiao ; Chen, Fangyue
Author_Institution :
Sch. of Sci., Hangzhou Dianzi Univ., Hangzhou, China
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;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4577-1798-7
DOI :
10.1109/IWCFTA.2011.38
