中国物理B ›› 2006, Vol. 15 ›› Issue (12): 2883-2889.doi: 10.1088/1009-1963/15/12/020

• GENERAL • 上一篇    下一篇

Perfect synchronization of chaotic systems: A controllability perspective

孙明轩, 何熊熊, 俞 立   

  1. College of Information Engineering,Zhejiang University of Technology, Hangzhou 310014, China
  • 收稿日期:2006-04-24 修回日期:2006-06-11 出版日期:2006-12-20 发布日期:2006-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60474005).

Perfect synchronization of chaotic systems: A controllability perspective

Sun Ming-Xuan(孙明轩)†, He Xiong-Xiong(何熊熊), and Yu Li(俞立)   

  1. College of Information Engineering,Zhejiang University of Technology, Hangzhou 310014, China
  • Received:2006-04-24 Revised:2006-06-11 Online:2006-12-20 Published:2006-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60474005).

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摘要： This paper presents a synchronization method, motivated from the constructive controllability analysis, for two identical chaotic systems. This technique is applied to achieve perfect synchronization for Lorenz systems and coupled dynamo systems. It turns out that states of the drive system and the response system are synchronized within finite time, and the reaching time is independent of initial conditions, which can be specified in advance. In addition to the simultaneous synchronization, the response system is synchronized un-simultaneously to the drive system with different reaching time for each state. The performance of the resulting system is analytically quantified in the face of initial condition error, and with numerical experiments the proposed method is demonstrated to perform well.

Abstract: This paper presents a synchronization method, motivated from the constructive controllability analysis, for two identical chaotic systems. This technique is applied to achieve perfect synchronization for Lorenz systems and coupled dynamo systems. It turns out that states of the drive system and the response system are synchronized within finite time, and the reaching time is independent of initial conditions, which can be specified in advance. In addition to the simultaneous synchronization, the response system is synchronized un-simultaneously to the drive system with different reaching time for each state. The performance of the resulting system is analytically quantified in the face of initial condition error, and with numerical experiments the proposed method is demonstrated to perform well.

Key words: controllability, finite time convergence, synchronization, chaos

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos)