Abstract Based on a modified Lorenz system, a relatively simple four-dimensional continuous autonomous hyperchaotic system is proposed by introducing a state feedback controller. The system consists of four coupled first-order ordinary differential equations with three nonlinear cross-product terms. Some dynamical properties of this hyperchaotic system, including equlibria, stability, Lyapunov exponent spectrum and bifurcation, are analysed in detail. Moreover, an electronic circuit diagram is designed for demonstrating the existence of the hyperchaos, and verifying computer simulation results.
Received: 26 November 2006
Revised: 17 December 2006
Accepted manuscript online:
Fund: Project
supported by the Natural Science Foundation of Zhejiang Province,
China (Grant No Y105175) and the Science investigation Foundation of
Hangzhou Dianzi University, China (Grant No KYS051505010).
Cite this article:
Wang Guang-Yi(王光义),Liu Jing-Biao(刘敬彪), and Zheng Xin(郑欣) Analysis and implementation of a new hyperchaotic system 2007 Chinese Physics 16 2278
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