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Chinese Physics, 2007, Vol. 16(7): 1901-1907    DOI: 10.1088/1009-1963/16/7/016
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Synchronization in a unified fractional-order chaotic system

Wu Zheng-Mao(吴峥茂) and Xie Jian-Ying(谢剑英)
Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China
Abstract  In this paper, the synchronization in a unified fractional-order chaotic system is investigated by two methods. One is the frequency-domain method that is analysed by using the Laplace transform theory. The other is the time-domain method that is analysed by using the Lyapunov stability theory. Finally, the numerical simulations are used to illustrate the effectiveness of the proposed synchronization methods.
Keywords:  chaos      synchronization      fractional-order system      fractional calculus  
Received:  07 August 2006      Revised:  23 January 2007      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  02.30.Uu (Integral transforms)  
  02.60.Cb (Numerical simulation; solution of equations)  
  05.45.Pq (Numerical simulations of chaotic systems)  

Cite this article: 

Wu Zheng-Mao(吴峥茂) and Xie Jian-Ying(谢剑英) Synchronization in a unified fractional-order chaotic system 2007 Chinese Physics 16 1901

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