中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1664-1669.doi: 10.1088/1674-1056/17/5/022

• GENERAL • 上一篇    下一篇

Circuit realization of the fractional-order unified chaotic system

陈向荣, 刘崇新, 王发强   

  1. School of Electrical Engineering, Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China
  • 收稿日期:2007-07-22 修回日期:2007-09-03 出版日期:2008-05-20 发布日期:2008-05-20

Circuit realization of the fractional-order unified chaotic system

Chen Xiang-Rong(陈向荣), Liu Chong-Xin(刘崇新), and Wang Fa-Qiang(王发强)   

  1. School of Electrical Engineering, Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2007-07-22 Revised:2007-09-03 Online:2008-05-20 Published:2008-05-20

摘要: 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.

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.

Key words: chaos, fractional-order unified chaotic system, circuit experiment

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
84.30.Bv (Circuit theory)