DocumentCode
2794412
Title
A New Hyper-Chaotic Lü Attractor and Its Local Bifurcation Analysis
Author
Jia, Hongyan ; Chen, Zengqiang ; Wu, Wenjuan
Author_Institution
Dept. of Autom., Nankai Univ., Tianjin, China
fYear
2009
fDate
6-8 Nov. 2009
Firstpage
231
Lastpage
235
Abstract
The paper analyzes a new hyper-chaotic Lu attractor which has rich and complex dynamical behaviors, by utilizing Lyapunov exponent spectrum, bifurcation diagram and phase portraits. And the local bifurcation is investigated by the centre manifold theorem. With the variation of parameters, the system will undergo pitchfork bifurcation and Hopf bifurcation at zero equilibrium, respectively. Finally, numerical simulations are showed to verify the theoretical analyses.
Keywords
Lyapunov methods; bifurcation; chaos generators; numerical analysis; Hopf bifurcation; Lyapunov exponent spectrum; bifurcation diagram; centre manifold theorem; complex dynamical behaviors; hyperchaotic Lu attractor; local bifurcation analysis; numerical simulations; phase portraits; pitchfork bifurcation; theoretical analyses; Bifurcation; hyper-chaotic; local bifurcation; pitchfork; simulation;
fLanguage
English
Publisher
ieee
Conference_Titel
Chaos-Fractals Theories and Applications, 2009. IWCFTA '09. International Workshop on
Conference_Location
Shenyang
Print_ISBN
978-0-7695-3853-2
Type
conf
DOI
10.1109/IWCFTA.2009.55
Filename
5361994
Link To Document