中国物理B ›› 2006, Vol. 15 ›› Issue (12): 2872-2877.doi: 10.1088/1009-1963/15/12/018

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A new chaotic system and its circuit realization

李宏伟1, 丘水生2, 王光义3, 李彩芬3, 郑 艳3   

  1. (1)Department of Physics and Engineering, Binzhou University, Binzhou 256604, China; (2)School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510640, China; (3)School of Electronics Information, Hangzhou Dianzi University, Hangzhou 310018, China
  • 收稿日期:2006-02-13 修回日期:2006-07-13 出版日期:2006-12-20 发布日期:2006-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60372004), the Natural Science Foundation of Zhejiang Province, China (Grant No Y105175) and the Science investigation Foundation of Hangzhou Dianzi University, China (Grant N

A new chaotic system and its circuit realization

Wang Guang-Yi(王光义)a)†, Qiu Shui-Sheng(丘水生)b), Li Hong-Wei (李宏伟)c), Li Cai-Fen(李彩芬)a), and Zheng Yan(郑艳)a)   

  1. a School of Electronics Information, Hangzhou Dianzi University, Hangzhou 310018, China; b School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510640, China; c Department of Physics and Engineering, Binzhou University, Binzhou 256604, China
  • Received:2006-02-13 Revised:2006-07-13 Online:2006-12-20 Published:2006-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60372004), the Natural Science Foundation of Zhejiang Province, China (Grant No Y105175) and the Science investigation Foundation of Hangzhou Dianzi University, China (Grant N

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摘要： Based on the Lü system, a new chaotic system is constructed, which can generate a Lorenz-like attractor, Chen-like attractor, Lü-like attractor and new attractor when its parameters are chosen appropriately. The detailed dynamical behaviours of this system are also investigated, including equilibria and stability, bifurcations, and Lyapunov exponent spectrum. Moreover, a novel analogue circuit diagram is designed for the verification of various attractors.

关键词: chaos, bifurcation, Lyapunov exponent, circuit realization

Abstract: Based on the Lü system, a new chaotic system is constructed, which can generate a Lorenz-like attractor, Chen-like attractor, Lü-like attractor and new attractor when its parameters are chosen appropriately. The detailed dynamical behaviours of this system are also investigated, including equilibria and stability, bifurcations, and Lyapunov exponent spectrum. Moreover, a novel analogue circuit diagram is designed for the verification of various attractors.

Key words: chaos, bifurcation, Lyapunov exponent, circuit realization

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a