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.
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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