吉林大学学报(理学版) ›› 2020, Vol. 58 ›› Issue (2): 397-402.

• 物理 • 上一篇    下一篇

混沌系统的广义修正函数投影同步及其电路仿真

李德奎   

  1. 甘肃中医药大学 理科教学部, 甘肃 定西 743000
  • 收稿日期:2018-09-18 出版日期:2020-03-26 发布日期:2020-03-25
  • 通讯作者: 李德奎 E-mail:dkli2009@163.com

Generalized Modified Functional Projective Synchronizationof Chaotic System and Its Circuit Simulation

LI Dekui   

  1. Department of Science Teaching, Gansu University of Chinese Medicine, Dingxi 743000, Gansu Province, China
  • Received:2018-09-18 Online:2020-03-26 Published:2020-03-25
  • Contact: LI Dekui E-mail:dkli2009@163.com

摘要: 基于驱动系统的状态方程与混沌系统的单向耦合原理构造响应系统, 并设计混沌系统广义修正函数投影同步的仿真电路. 结果表明: 驱动系统和响应系统实现广义修正函数投影同步的充分条件是反馈增益矩阵正定; 示波器输出的驱动系统相图、 响应系统相图及广义修正函数投影同步的波形图与数值仿真结果相符, 因此构造的混沌系统广义修正函数投影同步电路是正确的.

关键词: 混沌系统, 广义修正函数投影同步, 电路仿真

Abstract: The response system was constructed based on the state equations of the drive system and the oneway coupling principle of the chaotic system, and the simulation circuit of the generalized modified functional projective synchronization (GMFPS) of the chaotic system was designed. The results show that the sufficient condition of the drive system and the response sys
tem realizing the GMFPS is that the feedback gain matrix is positive definite. The numerical simulation results are same with the phase diagrams of the drive system, the phase diagrams of the response system and the waveform diagrams of the GMFPS on the oscilloscopes. Therefore, it is proved to be correct of the circuit of the GMFPS of the chaotic system.

Key words: chaotic system, generalized modified functional projective synchronization, circuit simulation

中图分类号: 

  • O415.5