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.
Received: 24 April 2006
Revised: 11 June 2006
Accepted manuscript online:
Fund: Project
supported by the National Natural Science Foundation of China
(Grant No 60474005).
Cite this article:
Sun Ming-Xuan(孙明轩), He Xiong-Xiong(何熊熊), and Yu Li(俞立) Perfect synchronization of chaotic systems: A controllability perspective 2006 Chinese Physics 15 2883
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