中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4067-4072.doi: 10.1088/1674-1056/17/11/020

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Adaptive projective synchronization with different scaling factors in 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:2008-04-14 修回日期:2008-05-19 出版日期:2008-11-20 发布日期:2008-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60575038).

Adaptive projective synchronization with different scaling factors in networks

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

  1. a School of Science, Jiangnan University, Wuxi 214122, China; b School of Information Technology, Jiangnan University, Wuxi 214122, China
  • Received:2008-04-14 Revised:2008-05-19 Online:2008-11-20 Published:2008-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60575038).

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摘要： We study projective synchronization with different scaling factors (PSDF) in $N$ coupled chaotic systems networks. By using the adaptive linear control, some sufficient criteria for the PSDF in symmetrical and asymmetrical coupled networks are separately given based on the Lyapunov function method and the left eigenvalue theory. Numerical simulations for a generalized chaotic unified system are illustrated to verify the theoretical results.

关键词: dynamical networks, adaptive control, synchronization with different scaling factors (PSDF), scaling factor

Abstract: We study projective synchronization with different scaling factors (PSDF) in $N$ coupled chaotic systems networks. By using the adaptive linear control, some sufficient criteria for the PSDF in symmetrical and asymmetrical coupled networks are separately given based on the Lyapunov function method and the left eigenvalue theory. Numerical simulations for a generalized chaotic unified system are illustrated to verify the theoretical results.

Key words: dynamical networks, adaptive control, synchronization with different scaling factors (PSDF), scaling factor

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Pq (Numerical simulations of chaotic systems) 05.45.Xt (Synchronization; coupled oscillators)