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应用科学学报 ›› 2001, Vol. 19 ›› Issue (4): 288-290.

• 论文 • 上一篇    下一篇

间歇线性反馈控制类Henon吸引子

李国辉1, 周世平2, 徐得名1, 赖建文2   

  1. 1. 上海大学通信工程系, 上海 200072;
    2. 上海大学物理系, 上海 200436
  • 收稿日期:2000-09-29 修回日期:2001-01-05 出版日期:2001-12-31 发布日期:2001-12-31
  • 作者简介:李国辉(1971-),男,湖南衡阳人,博士;周世平(1959-),男,安徽阜阳人,教授,博导;徐得名(1934-),男,浙江衢州人,教授,博导.
  • 基金资助:
    国家自然科学基金资助项目(69871016)

An Intermittent Linear Feedback Method for Controlling Henon-like Attractor

LI Guo-hui1, ZHOU Shi-ping2, XU De-ming1, LAI Jian-wen2   

  1. 1. Department of Communication Engineering, Shanghai University, Shanghai 200072, China;
    2. Department of Physics, Shanghai University, Shanghai 200436, China
  • Received:2000-09-29 Revised:2001-01-05 Online:2001-12-31 Published:2001-12-31

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71

被引次数

3

摘要： 提出了控制混沌的两种间歇线性反馈方法,该方法由自治相和控制相组成,选取合适的反馈系数和控制相时间,可以获得各种不同的稳定周期轨道.以类Henon吸引子为例,对非全同反馈系数进行数值模拟,结果表明该方法可以使既定的混沌系统按照给定的周期轨道演化.

关键词: 间歇线性反馈, 混沌, Lyapunov指数, 类Henon吸引子

Abstract: In this paper, a method based on intermittent linear feedback to control Henon-like attractor is proposed. The technique consists of autonomous and controlling phases. The different stable periodic orbits are obtained by adjusting the feedback coefficients and the time duration, which the control phase occupies. As an example, we get the expected conclusion by numerically simulating the Henon-like attractor with unidentical feedback coefficients. The results from the computer simulation show that the proposed scheme can switch effectively the system to the desired periodic orbits.

Key words: Lyapunov exponent, intermittent linear feedback, chaos, Henon-like attractor

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