中国物理B ›› 2007, Vol. 16 ›› Issue (5): 1246-1251.doi: 10.1088/1009-1963/16/5/013

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Generalized projective synchronization of a class of chaotic (hyperchaotic) systems with uncertain parameters

邓光明1, 贾贞2, 陆君安3, 张群娇3   

  1. (1)Department of Mathematics and Physics, Guilin University of Technology, Guilin 541004, China; (2)Department of Mathematics and Physics, Guilin University of Technology, Guilin 541004, China\;School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China\\; (3)School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2006-08-05 修回日期:2006-11-07 出版日期:2007-05-20 发布日期:2007-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60574045) and partly by Foundation of Guangxi Department of Education, China (Grant No (2006)26-118).

Generalized projective synchronization of a class of chaotic (hyperchaotic) systems with uncertain parameters

Jia Zhen(贾贞)a)b)†, Lu Jun-An(陆君安)b), Deng Guang-Ming(邓光明)a), and Zhang Qun-Jiao(张群娇)b)   

  1. a Department of Mathematics and Physics, Guilin University of Technology, Guilin 541004, China; b School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2006-08-05 Revised:2006-11-07 Online:2007-05-20 Published:2007-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60574045) and partly by Foundation of Guangxi Department of Education, China (Grant No (2006)26-118).

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摘要： In this paper is investigated the generalized projective synchronization of a class of chaotic (or hyperchaotic) systems, in which certain parameters can be separated from uncertain parameters. Based on the adaptive technique, the globally generalized projective synchronization of two identical chaotic (hyperchaotic) systems is achieved by designing a novel nonlinear controller. Furthermore, the parameter identification is realized simultaneously. A sufficient condition for the globally projective synchronization is obtained. Finally, by taking the hyperchaotic Lü system as example, some numerical simulations are provided to demonstrate the effectiveness and feasibility of the proposed technique.

关键词: Chaotic system, hyperchaotic system, generalized projective synchronization, parameter identification

Abstract: In this paper is investigated the generalized projective synchronization of a class of chaotic (or hyperchaotic) systems, in which certain parameters can be separated from uncertain parameters. Based on the adaptive technique, the globally generalized projective synchronization of two identical chaotic (hyperchaotic) systems is achieved by designing a novel nonlinear controller. Furthermore, the parameter identification is realized simultaneously. A sufficient condition for the globally projective synchronization is obtained. Finally, by taking the hyperchaotic Lü system as example, some numerical simulations are provided to demonstrate the effectiveness and feasibility of the proposed technique.

Key words: Chaotic system, hyperchaotic system, generalized projective synchronization, parameter identification

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)