Title :
A Novel Four-Dimensional Hyperchaotic System and Its Dynamic Analysis
Author :
Cai, Guo-Liang ; Wang, Hao-Xiang
Author_Institution :
Nonlinear Sci. Res. Center, Jiangsu Univ., Zhenjiang, China
Abstract :
This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system. Some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponents, bifurcation diagram and the hyperchaotic attractor evolving into periodic, quasi-periodic dynamical behaviors by varying parameter k are studied. Numerical simulations are presented to show these results.
Keywords :
chaos; nonlinear control systems; nonlinear dynamical systems; Lyapunov exponent; bifurcation diagram; dynamic analysis; four-dimensional hyperchaotic system; hyperchaotic attractor; quasi-periodic dynamical behavior; Bifurcation; Chaotic communication; Displays; Elasticity; Electromagnetic scattering; Information analysis; Nonlinear dynamical systems; Numerical simulation; State feedback; Viscosity; bifurcation; chaos; dynamic analysis; hyperchaos; lyapunov exponents;
Conference_Titel :
Information and Computing Science, 2009. ICIC '09. Second International Conference on
Conference_Location :
Manchester
Print_ISBN :
978-0-7695-3634-7
DOI :
10.1109/ICIC.2009.289
