中国物理B ›› 2011, Vol. 20 ›› Issue (8): 80507-080507.doi: 10.1088/1674-1056/20/8/080507

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Complete synchronization of double-delayed R"ossler systems with uncertain parameters

杨吉1, 桑金玉2, 岳立娟2   

  1. (1)Department of Basic Course, Aviation University of Airforce, Changchun 130022, Chinavspace1mm vspace1mm; (2)School of Physics, Northeast Normal University, Changchun 130024, China
  • 收稿日期:2011-01-25 修回日期:2011-03-16 出版日期:2011-08-15 发布日期:2011-08-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10847110).

Complete synchronization of double-delayed R?ssler systems with uncertain parameters

Sang Jin-Yu(桑金玉)a), Yang Ji(杨吉)b), and Yue Li-Juan(岳立娟)a)   

  1. a School of Physics, Northeast Normal University, Changchun 130024, China; b Department of Basic Course, Aviation University of Airforce, Changchun 130022, China
  • Received:2011-01-25 Revised:2011-03-16 Online:2011-08-15 Published:2011-08-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10847110).

摘要: In this paper, we investigate complete synchronization of double-delayed R"ossler systems with uncertain parameters as the master system is in chaotic synchronization. The uncertain parameters can be nonlinearly expressed in the system. The analysis and proof are given by means of the Lyapunov stability theorem. Based on theoretical analysis, some sufficient conditions of complete synchronization are proved. In order to validate the proposed scheme, numerical simulations are performed and the numerical results show that our scheme is very effective.

关键词: complete synchronization, double-delayed R?ssler system, uncertain parameters

Abstract: In this paper, we investigate complete synchronization of double-delayed R?ssler systems with uncertain parameters as the master system is in chaotic synchronization. The uncertain parameters can be nonlinearly expressed in the system. The analysis and proof are given by means of the Lyapunov stability theorem. Based on theoretical analysis, some sufficient conditions of complete synchronization are proved. In order to validate the proposed scheme, numerical simulations are performed and the numerical results show that our scheme is very effective.

Key words: complete synchronization, double-delayed R?ssler system, uncertain parameters

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Pq (Numerical simulations of chaotic systems)