中国物理B ›› 2006, Vol. 15 ›› Issue (5): 963-968.doi: 10.1088/1009-1963/15/5/016

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Hyperchaos evolved from the Liu chaotic system

王发强, 刘崇新   

  1. Institute of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China
  • 收稿日期:2005-10-21 修回日期:2006-02-27 出版日期:2006-05-20 发布日期:2006-05-20

Hyperchaos evolved from the Liu chaotic system

Wang Fa-Qiang (王发强), Liu Chong-Xin (刘崇新)   

  1. Institute of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2005-10-21 Revised:2006-02-27 Online:2006-05-20 Published:2006-05-20

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摘要： This paper introduces a new hyperchaotic system by adding an additional state into the third-order Liu chaotic system. Some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponent, fractal dimension and the hyperchaotic attractor evolving into chaotic, periodic, quasi-periodic dynamical behaviours by varying parameter d are studied briefly. Various attractors are illustrated not only by computer simulation but also by conducting an electronic circuit experiment.

关键词: hyperchaos, circuit implementation, Liu chaotic system

Abstract: This paper introduces a new hyperchaotic system by adding an additional state into the third-order Liu chaotic system. Some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponent, fractal dimension and the hyperchaotic attractor evolving into chaotic, periodic, quasi-periodic dynamical behaviours by varying parameter d are studied briefly. Various attractors are illustrated not only by computer simulation but also by conducting an electronic circuit experiment.

Key words: hyperchaos, circuit implementation, Liu chaotic system

中图分类号:  (Fractals)

  • 05.45.Df
84.30.-r (Electronic circuits)