Abstract This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system, studies 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 behaviours by varying parameter $k$. Furthermore，effective linear feedback control method is used to suppress hyperchaos to unstable equilibrium, periodic orbits and quasi-periodic orbits. Numerical simulations are presented to show these results.
Received: 02 April 2008
Revised: 12 April 2008
Accepted manuscript online:
Fund: Project
supported by the National Natural Science Foundations of China
(Grant Nos 70571030 and 90610031) and the Advanced Talents'
Foundation of Jiangsu University of China (Grant No 07JDG054).
Cite this article:
Cai Guo-Liang (蔡国梁), Zheng Song (郑松), Tian Li-Xin (田立新) A new hyperchaotic system and its linear feedback control 2008 Chin. Phys. B 17 4039
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