JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (11): 104-112.doi: 10.6040/j.issn.1671-9352.0.2014.443

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A new four-dimensional smooth four-wing hyperchaotic system and its circuit implementation

WANG Jie-zhi1, LI Hang2, WANG Rui3, WANG Lu4, WANG Yan-chao5   

  1. 1. College of Science, Civil Aviation University of China, Tianjin 300300, China;
    2. Economics and Management College, Civil Aviation University of China, Tianjin 300300, China;
    3. College of Aeronautical Automation, Civil Aviation University of China, Tianjin 300300, China;
    4. Chief Engineer Office, Shandong Guoqiang Hardware Technology Cor. Ltd, Leling 253600, Shandong, China;
    5. Maintenance Management Department of Engineering Technology Company, China Eastern Airlines Cor. Ltd, Shanghai 200335, China
  • Received:2014-10-09 Revised:2015-02-11 Online:2015-11-20 Published:2015-12-09

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Abstract: Using nonlinear state feedback control, a new four-dimensional smooth autonomous hyperchaotic system was constructed with large positive Lyapunov exponent. This system had larger four-wing hyperchaotic region. The stability of equilibria was discussed. The dynamic behaviors of this system were analysed through Lyapunov exponents, bifurcation diagrams and Poincaré sections. The four-wing chaotic attractor and hyperchaotic attractors were displayed by phase portraits. With various parameters, this system still underwent quasi-periodic orbits and periodic orbits. An electronic circuit is given to implement the typical hyperchaotic attractor.

Key words: Lyapunov exponent, four-wing attractor, section, circuit implementation, Poincaré, hyperchaotic system

CLC Number: 

  • O415.5
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