中国物理B ›› 2007, Vol. 16 ›› Issue (7): 1912-1917.doi: 10.1088/1009-1963/16/7/018

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Impulsive generalized synchronization of chaotic system

何雪明1, 张荣2, 徐振源2   

  1. (1)College of Mechanical Engineering, Southern Yangtze University, Wuxi 214122, China; (2)School of Science, Southern Yangtze University, Wuxi 214122, China
  • 收稿日期:2006-10-04 修回日期:2007-02-05 出版日期:2007-07-20 发布日期:2007-07-04
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10372054).

Impulsive generalized synchronization of chaotic system

Zhang Rong(张荣)a)†, Xu Zhen-Yuan (徐振源)a), and He Xue-Ming(何雪明)b)   

  1. a School of Science, Southern Yangtze University, Wuxi 214122, China; b College of Mechanical Engineering, Southern Yangtze University, Wuxi 214122, China
  • Received:2006-10-04 Revised:2007-02-05 Online:2007-07-20 Published:2007-07-04
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10372054).

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摘要： In this paper, with a given manifold y= H(x) , we have constructed a response system for a continuous-time chaotic system as a drive system, and used impulsive control theory to demonstrate theoretically that this response system can achieve impulsive generalized synchronization (GS) with the drive system. Our theoretical result is supported by numerical examples.

关键词: synchronization manifold, impulsive generalized synchronization, impulsive control, impulsive differential equation

Abstract: In this paper, with a given manifold  $y= H(x)$, we have constructed a response system for a continuous-time chaotic system as a drive system, and used impulsive control theory to demonstrate theoretically that this response system can achieve impulsive generalized synchronization (GS) with the drive system. Our theoretical result is supported by numerical examples.

Key words: synchronization manifold, impulsive generalized synchronization, impulsive control, impulsive differential equation

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos)