中国物理B ›› 2011, Vol. 20 ›› Issue (9): 90509-090509.doi: 10.1088/1674-1056/20/9/090509

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Modified scaling function projective synchronization of chaotic systems

周武能1, 方建安1, 徐玉华2   

  1. (1)College of Information Science and Technology, Donghua University, Shanghai 201620, China; (2)Department of Mathematics and Finance, Yunyang Teachers' College, Shiyan 442000, China
  • 收稿日期:2011-01-25 修回日期:2011-04-06 出版日期:2011-09-15 发布日期:2011-09-15

Modified scaling function projective synchronization of chaotic systems

Xu Yu-Hua(徐玉华)a)b)†, Zhou Wu-Neng(周武能)c), and Fang Jian-An(方建安)c)   

  1. a Department of Mathematics and Finance, Yunyang Teachers' College, Shiyan 442000, China; b Computer School of Wuhan University, Wuhan 430079, China; b College of Information Science and Technology, Donghua University, Shanghai 201620, China
  • Received:2011-01-25 Revised:2011-04-06 Online:2011-09-15 Published:2011-09-15

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摘要： This paper investigates a kind of modified scaling function projective synchronization of uncertain chaotic systems using an adaptive controller. The given scaling function in the new method can be an equilibrium point, a periodic orbit, or even a chaotic attractor in the phase space. Based on LaSalle's invariance set principle, the adaptive control law is derived to make the states of two chaotic systems function projective synchronized. Some numerical examples are also given to show the effectiveness of the proposed method.

关键词: chaotic system, function projective synchronization, scaling function

Abstract: This paper investigates a kind of modified scaling function projective synchronization of uncertain chaotic systems using an adaptive controller. The given scaling function in the new method can be an equilibrium point, a periodic orbit, or even a chaotic attractor in the phase space. Based on LaSalle's invariance set principle, the adaptive control law is derived to make the states of two chaotic systems function projective synchronized. Some numerical examples are also given to show the effectiveness of the proposed method.

Key words: chaotic system, function projective synchronization, scaling function

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

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