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
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;
Conference_Titel :
Chaos-Fractals Theories and Applications, 2009. IWCFTA '09. International Workshop on
Conference_Location :
Shenyang
Print_ISBN :
978-0-7695-3853-2
DOI :
10.1109/IWCFTA.2009.55
