Title :
A Novel One Equilibrium Hyper-chaotic System and Its Bifurcation Analysis
Author :
Xue, Wei ; Mu, Jingjing ; Jia, Hongyan
Author_Institution :
Dept. of Autom., Tianjin Univ. of Sci. & Technol., Tianjin, China
Abstract :
On the base of Qi system, a novel hyper-chaotic system is obtained by adding a linear feedback control. By analyzing the equilibrium, the system has rich and complex dynamical behaviors. Although this new system has only one equilibrium, it is four-wing hyper-chaotic attractor. The system is also verified to have a four-wing hyper-chaotic attractor by Lyapunov exponents, bifurcation diagrams, poincaré map, and numerical simulations. In addition, the system undergoes Hopf bifurcation when parameter f varies, and the theoretical analysis is verified by numerical simulation.
Keywords :
Lyapunov methods; Poincare mapping; bifurcation; chaos; numerical analysis; Hopf bifurcation; Lyapunov exponents; Poincare map; Qi system; bifurcation analysis; bifurcation diagrams; hyper-chaotic system; numerical simulations; Bifurcation; Chaotic communication; Eigenvalues and eigenfunctions; Silicon compounds; Three dimensional displays; Hopf bifurcation; Lyapunov exponents; four-wing; hyper-chaotic;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
Conference_Location :
Kunming, Yunnan
Print_ISBN :
978-1-4244-8815-5
DOI :
10.1109/IWCFTA.2010.46
