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Chin. Phys. B, 2010, Vol. 19(7): 070507    DOI: 10.1088/1674-1056/19/7/070507
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A specific state variable for a class of 3D continuous fractional-order chaotic systems

Zhou Ping(周平)a)b)†, Cheng Yuan-Ming(程元明)b), and Kuang Fei(邝菲) b)
a Key Laboratory of Network Control & Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; b Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Abstract  A specific state variable in a class of 3D continuous fractional-order chaotic systems is presented. All state variables of fractional-order chaotic systems of this class can be obtained via a specific state variable and its (q-order and 2q-order) time derivatives. This idea is demonstrated by using several well-known fractional-order chaotic systems. Finally, a synchronization scheme is investigated for this fractional-order chaotic system via a specific state variable and its (q-order and 2q-order) time derivatives. Some examples are used to illustrate the effectiveness of the proposed synchronization method.
Keywords:  fractional-order chaotic systems      state variable      q-order and 2q-order time derivatives      chaotic synchronization  
Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Pq (Numerical simulations of chaotic systems)  
  02.30.Hq (Ordinary differential equations)  

Cite this article: 

Zhou Ping(周平), Cheng Yuan-Ming(程元明), and Kuang Fei(邝菲) A specific state variable for a class of 3D continuous fractional-order chaotic systems 2010 Chin. Phys. B 19 070507

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