中国物理B ›› 2008, Vol. 17 ›› Issue (9): 3252-3257.doi: 10.1088/1674-1056/17/9/018

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One new fractional-order chaos system and its circuit simulation by electronic workbench

程雪峰1, 张年英1, 周平2   

  1. (1)Institute for Nonlinear Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; (2)Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China ;Institute for Nonlinear Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
  • 收稿日期:2008-01-02 修回日期:2008-02-14 出版日期:2008-09-08 发布日期:2008-09-08
  • 基金资助:
    Project supported by Chongqing Education Committee of China (Grant No KJ070502).

One new fractional-order chaos system and its circuit simulation by electronic workbench

Zhou Ping(周平)a)b), Cheng Xue-Feng(程雪峰)b), and Zhang Nian-Ying(张年英)b)   

  1. a Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; b Institute for Nonlinear Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
  • Received:2008-01-02 Revised:2008-02-14 Online:2008-09-08 Published:2008-09-08
  • Supported by:
    Project supported by Chongqing Education Committee of China (Grant No KJ070502).

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摘要： This paper proposes a new chaotic system and its fractional-order chaotic system. The necessary condition for the existence of chaotic attractors in this new fractional-order system is obtained. It finds that this new fractional-order system is chaotic for $q>0.783$ if the system parameter $m$=6. The chaotic attractors for $q$=0.8, and $q$=0.9 are obtained. A circuit is designed to realize its fractional-order chaos system for $q$=0.9 by electronic workbench.

关键词: fractional-order chaotic systems, necessary condition, electronic workbench

Abstract: This paper proposes a new chaotic system and its fractional-order chaotic system. The necessary condition for the existence of chaotic attractors in this new fractional-order system is obtained. It finds that this new fractional-order system is chaotic for $q>0.783$ if the system parameter $m$=6. The chaotic attractors for $q$=0.8, and $q$=0.9 are obtained. A circuit is designed to realize its fractional-order chaos system for $q$=0.9 by electronic workbench.

Key words: fractional-order chaotic systems, necessary condition, electronic workbench

中图分类号:  (Nonlinear dynamics and chaos)

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