中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90503-090503.doi: 10.1088/1674-1056/19/9/090503

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Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)

程元明1, 邝菲1, 周平2   

  1. (1)Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; (2)Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
  • 收稿日期:2009-12-30 修回日期:2010-02-21 出版日期:2010-09-15 发布日期:2010-09-15
  • 基金资助:
    Project supported by the Education Committee of Chongqing Province, China (Grant No. KJ090503).

Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)

Zhou Ping(周平)a)b)†, Cheng Yuan-Ming(程元明)b), and Kuang Fei(邝菲)b)   

  1. a Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; b Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
  • Received:2009-12-30 Revised:2010-02-21 Online:2010-09-15 Published:2010-09-15
  • Supported by:
    Project supported by the Education Committee of Chongqing Province, China (Grant No. KJ090503).

摘要: Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems. The proposed synchronization approach in this paper shows that the synchronization between fractional-order chaotic systems and chaotic systems of integer orders can be achieved, and the synchronization between different fractional-order chaotic systems can also be realized. Numerical experiments show that the present method works very well.

Abstract: Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems. The proposed synchronization approach in this paper shows that the synchronization between fractional-order chaotic systems and chaotic systems of integer orders can be achieved, and the synchronization between different fractional-order chaotic systems can also be realized. Numerical experiments show that the present method works very well.

Key words: fractional-order chaotic systems, chaotic systems of integer orders, different fractional-order chaotic systems, synchronization

中图分类号: 

  • 0545