北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2015, Vol. 38 ›› Issue (1): 36-39.doi: 10.13190/j.jbupt.2015.01.007

• 论文 • 上一篇    下一篇

变形蔡氏混沌系统及其电路实现

马英杰, 李彦兵, 杨亚涛   

  1. 北京电子科技学院 通信工程系, 北京 100070
  • 收稿日期:2014-06-24 出版日期:2015-02-28 发布日期:2015-03-30
  • 作者简介:马英杰(1979—),女,博士,E-mail:dmzm12@163.com.
  • 基金资助:

    中央高校基本科研业务资助项目(2014XSYJ06)

Modified Chua's Chaotic System and Its Circuit Implementation

MA Ying-jie, LI Yan-bing, YANG Ya-tao   

  1. Communication Engineering Laboratory, Beijing Electronic Science and Technology Institute, Beijing 100070, China
  • Received:2014-06-24 Online:2015-02-28 Published:2015-03-30

摘要:

典型蔡氏电路中引入符号函数代替原有蔡氏二极管,构建了一个能产生多涡卷混沌吸引子的变形蔡氏混沌系统模型. 构造方法是使该函数中的每个平衡点分别位于相邻两个转折点的正中间,并且保持混沌吸引子中涡卷与键带的相互间置. 该模型的动力学分析和Matlab数值仿真表明,该系统能够产生10涡卷混沌吸引子. 最后,设计了硬件电路并且给出了最多10个涡卷的硬件电路实验结果. 硬件实验结果与理论分析和仿真分析完全吻合,进一步证实了该系统的存在.

关键词: 混沌, 变形蔡氏电路, 多涡卷, 混沌吸引子, 硬件电路

Abstract:

A model of the modified Chua's chaotic system was constructed to produce multi-scroll chaotic attractors,replacing the typical Chua's diode with the sign function in the typical Chua's circuit. The method is to make equilibrium point located in the center of two adjacent breakpoints,and keep scrolls and bond orbits alternated with each other. Both model analysis and Matlab simulation show that the system generates 10 scrolls chaotic attractors. Finally,the design of the hardware circuit produces at a maximum of 10 scrolls hardware experimental results. Hardware experiments,analysis and simulation are almost accordance, which further proved the existence of the system.

Key words: chaos, modified Chua's circuit, multi-scroll, chaotic attractors, hardware implementation

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