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Chinese Physics, 2007, Vol. 16(6): 1586-1590    DOI: 10.1088/1009-1963/16/6/016
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Realization of fractional-order Liu chaotic system by circuit

Lu Jun-Jie(逯俊杰) and Liu Chong-Xin(刘崇新)
Institute of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China
Abstract  In this paper, chaotic behaviours in the fractional-order Liu system are studied. Based on the approximation theory of fractional-order operator, circuits are designed to simulate the fractional- order Liu system with $q=0.1-0.9$ in a step of 0.1, and an experiment has demonstrated the 2.7-order Liu system. The simulation results prove that the chaos exists indeed in the fractional-order Liu system with an order as low as 0.3. The experimental results prove that the fractional-order chaotic system can be realized by using hardware devices, which lays the foundation for its practical applications.
Keywords:  fractional-order Liu system      circuit simulation      circuit experiment  
Received:  21 April 2006      Revised:  21 December 2006      Accepted manuscript online: 
PACS:  05.45.Pq (Numerical simulations of chaotic systems)  

Cite this article: 

Lu Jun-Jie(逯俊杰) and Liu Chong-Xin(刘崇新) Realization of fractional-order Liu chaotic system by circuit 2007 Chinese Physics 16 1586

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