中国物理B ›› 2008, Vol. 17 ›› Issue (3): 836-841.doi: 10.1088/1674-1056/17/3/018

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Adaptive coupled synchronization of non-autonomous systems in ring networks

徐振源1, 过榴晓2, 胡满峰2   

  1. (1)School of Science, Jiangnan University, Wuxi 214122, China; (2)School of Science, Jiangnan University, Wuxi 214122, China；School of Information Technology, Jiangnan University, Wuxi 214122, China
  • 收稿日期:2006-12-19 修回日期:2007-09-10 出版日期:2008-03-04 发布日期:2008-03-04
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10372054) and the Science Foundation of Jiangnan University, China (Grant No 000408).

Adaptive coupled synchronization of non-autonomous systems in ring networks

Guo Liu-Xiao(过榴晓)a)b)†, Xu Zhen-Yuan(徐振源)a), and Hu Man-Feng(胡满峰)a)b)   

  1. a School of Science, Jiangnan University, Wuxi 214122, China; b School of Information Technology, Jiangnan University, Wuxi 214122, China
  • Received:2006-12-19 Revised:2007-09-10 Online:2008-03-04 Published:2008-03-04
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10372054) and the Science Foundation of Jiangnan University, China (Grant No 000408).

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摘要： The adaptive coupled synchronization method for non-autonomous systems is proposed. This method can avoid estimating the value of coupling coefficient. Under the uniform Lipschitz assumption, we derive the asymptotical synchronization for a general coupling ring network with N identical non-autonomous systems, even when N is large enough. Strict theoretical proofs are given. Numerical simulations illustrate the effectiveness of the present method.

关键词: non-autonomous system, adaptive synchronization, chaotic synchronization, ring networks

Abstract: The adaptive coupled synchronization method for non-autonomous systems is proposed. This method can avoid estimating the value of coupling coefficient. Under the uniform Lipschitz assumption, we derive the asymptotical synchronization for a general coupling ring network with N identical non-autonomous systems, even when N is large enough. Strict theoretical proofs are given. Numerical simulations illustrate the effectiveness of the present method.

Key words: non-autonomous system, adaptive synchronization, chaotic synchronization, ring networks

中图分类号:  (Synchronization; coupled oscillators)

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