J4 ›› 2012, Vol. 50 ›› Issue (06): 1233-1238.

• 物理 • 上一篇    下一篇

电光双稳系统中混沌的控制

刘璐, 陈阳, 王荣   

  1. 吉林大学 物理学院, |长春 130012
  • 收稿日期:2012-03-22 出版日期:2012-11-26 发布日期:2012-11-26
  • 通讯作者: 王荣 E-mail:wangr@jlu.edu.cn

Chaos Control in ElectricalOptical Bistable Systems

LIU Lu, CHEN Yang, WANG Rong   

  1. College of Physics, Jilin University, Changchun 130012, China
  • Received:2012-03-22 Online:2012-11-26 Published:2012-11-26
  • Contact: WANG Rong E-mail:wangr@jlu.edu.cn

摘要:

采用反馈方法研究电光双稳混沌系统的不稳定周期点及分岔点的控制. 根据受控系统的Jacobi矩阵特征值与系统状态间的关系, 确定系统反馈系数, 从而实现对混沌系统不同周期点及分岔点的稳定控制. 数值仿真结果表明: 该方法可实现系统单周期点、 二周期点、 第一分岔点和第二分岔点的稳定控制; 通过在一定范围内调整反馈系数, 可实现如四周期和八周期等多种周期状态的稳定控制.

关键词: 电光双稳系统, 混沌的控制, Jacobi矩阵, 特征值

Abstract:

 Stabilizing unstable periodic points and bifurcational points of a chaotic electricaloptical bistable system were studied by means of  the feedback method. Based on the relations between state and the eigenvalue of Jacobi matrix of system, the coefficient can be ascertained,  and then the chaos control can be achieved. The   numerical calculation result shows that this method can fulfill the stable control of different periodic points and bifurcation points. Simultaneously, with the same method we can realize the stable control of different periodic states, such as periodic points of four, eight and the others.

Key words: electricaloptical bistable system, chaos control, Jacobi matrix; , eigenvalue

中图分类号: 

  • O415.5