中国物理B ›› 2007, Vol. 16 ›› Issue (6): 1586-1590.doi: 10.1088/1009-1963/16/6/016

• GENERAL • 上一篇    下一篇

Realization of fractional-order Liu chaotic system by circuit

逯俊杰, 刘崇新   

  1. Institute of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China
  • 收稿日期:2006-04-21 修回日期:2006-12-21 出版日期:2007-06-20 发布日期:2007-06-20

Realization of fractional-order Liu chaotic system by circuit

Lu Jun-Jie(逯俊杰) and Liu Chong-Xin(刘崇新)   

  1. Institute of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2006-04-21 Revised:2006-12-21 Online:2007-06-20 Published:2007-06-20

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摘要： 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.

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.

Key words: fractional-order Liu system, circuit simulation, circuit experiment

中图分类号:  (Numerical simulations of chaotic systems)

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