中国物理B ›› 2006, Vol. 15 ›› Issue (12): 2890-2893.doi: 10.1088/1009-1963/15/12/021

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Impulsive control for synchronization of a nonlinear R?ssler's chaotic systems

李阳, 廖晓峰, 李传东, 陈 果   

  1. College of Computer Science and Engineering,Chongqing University, Chongqing 400030, China
  • 收稿日期:2006-05-08 修回日期:2006-05-30 出版日期:2006-12-20 发布日期:2006-12-20
  • 基金资助:
    Project supported by the Major Program of the National Natural Science Foundation of China (Grant No 60271019), the Doctorate Foundation of the Ministry of Education of China (Grant No 20020611007).

Impulsive control for synchronization of a nonlinear Rössler's chaotic systems

Li Yang(李阳)†, Liao Xiao-Feng(廖晓峰), Li Chuan-Dong(李传东), and Chen Guo(陈果)   

  1. College of Computer Science and Engineering,Chongqing University, Chongqing 400030, China
  • Received:2006-05-08 Revised:2006-05-30 Online:2006-12-20 Published:2006-12-20
  • Supported by:
    Project supported by the Major Program of the National Natural Science Foundation of China (Grant No 60271019), the Doctorate Foundation of the Ministry of Education of China (Grant No 20020611007).

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摘要： This paper reports that an impulsive control theory for synchronization of nonlinear R?ssler chaotic systems is developed. A new framework for impulsive synchronization between such chaotic systems is presented, which makes the synchronization error system a linear impulsive control system. Therefore, it is easy to derive the impulsive synchronization law. The proposed impulsive control scheme is illustrated by nonlinear R?ssler chaotic systems and the simulation results demonstrate the effectiveness of the method.

Abstract: This paper reports that an impulsive control theory for synchronization of nonlinear Rössler chaotic systems is developed. A new framework for impulsive synchronization between such chaotic systems is presented, which makes the synchronization error system a linear impulsive control system. Therefore, it is easy to derive the impulsive synchronization law. The proposed impulsive control scheme is illustrated by nonlinear R?ssler chaotic systems and the simulation results demonstrate the effectiveness of the method.

Key words: chaos, impulsive synchronization, Rössler's system

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

  • 05.45.Gg
05.45.Xt (Synchronization; coupled oscillators)