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J4 ›› 2010, Vol. 45 ›› Issue (11): 43-46.

• 电子技术与信息 • 上一篇    下一篇

四翼Liu混沌系统的设计与电路实现

王忠林1,邓 斌2,侯承玺2,姚福安2   

  1. 1. 滨州学院物理与电子科学系, 山东 滨州 256603;
     2. 山东大学控制科学与工程学院, 山东 济南 250061
  • 收稿日期:2010-03-29 出版日期:2010-11-16 发布日期:2010-11-24
  • 作者简介:王忠林(1970-),男,副教授,主要从事EDA技术与混沌理论及应用研究.Email:bzcong@126.com
  • 基金资助:

    山东省科技发展计划资助项目(2009GG10001030);山东省教育厅国内访问学者资助项目(2009年度)

Design and circuit realization of a four-wing Liu chaotic system

WANG Zhong-lin1, DENG Bin2, HOU Cheng-xi2, YAO Fu-an2   

  1. 1. Department of Physics and Electronics, Binzhou University, Binzhou 256603, Shandong, China;
    2.  School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China
  • Received:2010-03-29 Online:2010-11-16 Published:2010-11-24

摘要:

为提高混沌吸引子拓扑结构的复杂性,在Liu系统的基础上采用双极性化z轴的方法,将Liu混沌系统的双翼吸引子变为四翼吸引子。对新的系统进行了理论分析和计算机仿真,并计算了新系统的Lyapunov指数谱和分岔图,然后利用EDA技术,在FPGA平台上实现了这个四翼混沌系统。最后的实验结果与仿真结果一致,二者都是具有四翼的吸引子,从而证明了理论分析和数值仿真的正确性。

关键词: 超混沌系统;四翼吸引子;Lyapunov指数

Abstract:

To enhance the complexity of the topological structure of the Liu system, the attractors of Liu system were changed from two-wings to four-wings through making the  z axis doubly polarized. First, theoretical analyses and numerical simulation were carried out and the Lyapunov exponent spectrum and bifurcation diagram were depicted. Then the four-wings system was realized using EDA technology based upon FPGA. Experimental results show that the experimental phase diagram was in agreement with the simulation, all with a four-wing attractor. The correctness of the theoretical analyses and numerical simulation were proved.

Key words: hyperchaotic system; four-wings attractors; Lyapunov exponent

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