Abstract This paper studies the chaotic behaviours of the fractional-order unified chaotic system. Based on the approximation method in frequency domain, it proposes an electronic circuit model of tree shape to realize the fractional-order operator. According to the tree shape model, an electronic circuit is designed to realize the 2.7-order unified chaotic system. Numerical simulations and circuit experiments have verified the existence of chaos in the fraction-order unified system.
Received: 22 July 2007
Revised: 03 September 2007
Accepted manuscript online:
Chen Xiang-Rong(陈向荣), Liu Chong-Xin(刘崇新), and Wang Fa-Qiang(王发强) Circuit realization of the fractional-order unified chaotic system 2008 Chin. Phys. B 17 1664
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