中国物理B ›› 2007, Vol. 16 ›› Issue (8): 2278-2284.doi: 10.1088/1009-1963/16/8/020

• GENERAL • 上一篇    下一篇

Analysis and implementation of a new hyperchaotic system

王光义, 刘敬彪, 郑欣   

  1. College of Electronics Information, Hangzhou Dianzi University, Hangzhou 310018, China
  • 收稿日期:2006-11-26 修回日期:2006-12-17 出版日期:2007-08-20 发布日期:2007-08-20
  • 基金资助:
    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).

Analysis and implementation of a new hyperchaotic system

Wang Guang-Yi(王光义),†Liu Jing-Biao(刘敬彪), and Zheng Xin(郑欣)   

  1. College of Electronics Information, Hangzhou Dianzi University, Hangzhou 310018, China
  • Received:2006-11-26 Revised:2006-12-17 Online:2007-08-20 Published:2007-08-20
  • Supported by:
    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).

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摘要： 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.

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.

Key words: hyperchaos, state feedback, dynamical analysis, circuit implementation

中图分类号:  (Communication using chaos)

  • 05.45.Vx
02.30.Hq (Ordinary differential equations)