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Chin. Phys., 2006, Vol. 15(5): 963-968    DOI: 10.1088/1009-1963/15/5/016
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Hyperchaos evolved from the Liu chaotic system

Wang Fa-Qiang, Liu Chong-Xin
Institute of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China
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.
Keywords:  hyperchaos      circuit implementation      Liu chaotic system  
Received:  21 October 2005      Revised:  27 February 2006      Published:  20 May 2006
PACS:  05.45.Df (Fractals)  
  84.30.-r (Electronic circuits)  

Cite this article: 

Wang Fa-Qiang, Liu Chong-Xin Hyperchaos evolved from the Liu chaotic system 2006 Chin. Phys. 15 963

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