中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4073-4079.doi: 10.1088/1674-1056/17/11/021

• • 上一篇    下一篇

Adaptive generalized projective synchronization of two different chaotic systems with unknown parameters

杨世平1, 张若洵2   

  1. (1)College of Physics, Hebei Normal University, Shijiazhuang 050016, China; (2)College of Physics, Hebei Normal University, Shijiazhuang 050016, China;The Elementary Education College, Xingtai University, Xingtai 054001, China
  • 收稿日期:2008-04-28 修回日期:2008-05-27 出版日期:2008-11-20 发布日期:2008-11-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Hebei Province, China (Grant No A2006000128).

Adaptive generalized projective synchronization of two different chaotic systems with unknown parameters

Zhang Ruo-Xun(张若洵)ab, Yang Shi-Ping(杨世平)a   

  1. a College of Physics, Hebei Normal University, Shijiazhuang 050016, China; b The Elementary Education College, Xingtai University, Xingtai 054001, China
  • Received:2008-04-28 Revised:2008-05-27 Online:2008-11-20 Published:2008-11-20
  • Supported by:
    Project supported by the Natural Science Foundation of Hebei Province, China (Grant No A2006000128).

PDF (PC)

682

赞

摘要： This paper presents a general method of the generalized projective synchronization and the parameter identification between two different chaotic systems with unknown parameters. This approach is based on Lyapunov stability theory, and employs a combination of feedback control and adaptive control. With this method one can achieve the generalized projective synchronization and realize the parameter identifications between almost all chaotic (hyperchaotic) systems with unknown parameters. Numerical simulations results are presented to demonstrate the effectiveness of the method.

关键词: different chaotic systems, generalized projective synchronization, parameter identification, unknown parameters

Abstract: This paper presents a general method of the generalized projective synchronization and the parameter identification between two different chaotic systems with unknown parameters. This approach is based on Lyapunov stability theory, and employs a combination of feedback control and adaptive control. With this method one can achieve the generalized projective synchronization and realize the parameter identifications between almost all chaotic (hyperchaotic) systems with unknown parameters. Numerical simulations results are presented to demonstrate the effectiveness of the method.

Key words: different chaotic systems, generalized projective synchronization, parameter identification, unknown parameters

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems)