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Chinese Physics, 2004, Vol. 13(2): 168-172    DOI: 10.1088/1009-1963/13/2/008
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Chaos synchronization based on intermittent state observer

Li Guo-Hui (李国辉)a, Zhou Shi-Ping (周世平)b, Xu De-Ming (徐得名)a
a School of Communication and Information Engineering, Shanghai University, Shanghai 200072, China; b School of Science, Shanghai University, Shanghai 200436, China
Abstract  This paper describes the method of synchronizing slave to the master trajectory using an intermittent state observer by constructing a synchronizer which drives the response system globally tracing the driving system asymptotically. It has been shown from the theory of synchronization error-analysis that a satisfactory result of chaos synchronization is expected under an appropriate intermittent period and state observer. Compared with continuous control method, the proposed intermittent method can target the desired orbit more efficiently. The application of the method is demonstrated on the hyperchaotic R?ssler systems. Numerical simulations show that the length of the synchronization interval τ_s is of crucial importance for our scheme, and the method is robust with respect to parameter mismatch.
Keywords:  chaos synchronization      state observer      intermittent method  
Received:  21 April 2003      Revised:  02 June 2003      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Pq (Numerical simulations of chaotic systems)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60371033), the Key Disciplinary Development Program of Shanghai (Grant No 2001-44) and the Younger Foundation of Shanghai Municipal Commission of Education (03AQ87).

Cite this article: 

Li Guo-Hui (李国辉), Zhou Shi-Ping (周世平), Xu De-Ming (徐得名) Chaos synchronization based on intermittent state observer 2004 Chinese Physics 13 168

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