吉林大学学报(理学版)

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基于矩阵理论的分数阶超混沌系统切换同步

初奇璇, 张环宇, 岳立娟   

  1. 东北师范大学 物理学院, 长春 130024
  • 收稿日期:2015-08-05 出版日期:2016-03-26 发布日期:2016-03-23
  • 通讯作者: 岳立娟 E-mail:ljyue@nenu.edu.cn

Switching Synchronization of FractionalOrderHyperchaotic System Based on Matrix Theory

CHU Qixuan, ZHANG Huanyu, YUE Lijuan   

  1. College of Physics, Northeast Normal University, Changchun 130024, China
  • Received:2015-08-05 Online:2016-03-26 Published:2016-03-23
  • Contact: YUE Lijuan E-mail:ljyue@nenu.edu.cn

摘要:

基于矩阵理论, 结合主动控制方法, 设计一个合适的控制器, 通过开关控制将其加在不同的系统上, 实现新的分数阶超混沌系统与分数阶超混沌Lorenz系统间的切换同步.  基于波特图的频域近似方法, 设计分数阶超混沌系统同步电路, 电路仿真结果进一步证明了理论分析和数值模拟的正确性.

关键词: 矩阵理论, 切换同步, 电路仿真

Abstract:

Based on the matrix theory, combined with active control method, we designed a suitable controller. Controller applied to the different systems by changing switches, the switching synchronization between new fractionalorder hyperchaotic system and fractionalorder hyperchaotic Lorenz system was realized. Applying frequency domain approximation method based on Bode diagram, we designed synchronization circuits of fractionalorder hyperchaotic systems. The results of circuit simulation further verify the correctness of theoretical analysis and numerical simulation.

Key words: matrix theory, switching synchronization, circuit simulation

中图分类号: 

  • O545