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Rssler超混沌系统的改进广义混合投影同步

安新磊1, 俞建宁1, 张 莉2, 张建刚1   

  1. 1. 兰州交通大学 数理与软件工程学院, 兰州 730070; 2. 兰州工业高等专科学校 基础学科部, 兰州 730050
  • 收稿日期:2007-11-26 修回日期:1900-01-01 出版日期:2008-11-26 发布日期:2008-11-26
  • 通讯作者: 安新磊

Improved FSHPS of Hyperchaotic Rssler System

AN Xin lei1, YU Jian ning1, ZHANG Li2, ZHANG Jian gang1   

  1. 1. School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China; 2. Basic Courses Department, Lanzhou Polytechnical College, Lanzhou 730050, China
  • Received:2007-11-26 Revised:1900-01-01 Online:2008-11-26 Published:2008-11-26
  • Contact: AN Xin lei

摘要: 针对Rssler超混沌系统, 采用自适应控制方法, 通过设计控制器, 研究该系统的广义混合投影同步(FSHPS). 并在此基础上, 首次提出了响应系统同时含有控制变量α时, 系统的改进广义混合投影同步(IFSHPS)运动行为, 理论分析和数值仿真验证了该同步方法的可行性. 

关键词: 改进广义混合投影同步, 超混沌系统, 广义混合投影同步, 自适应控制

Abstract: The problem of full\|state hybrid projective synchronization (FSHPS) of hyperchaotic Rssler systems was studied based on Lyapunov stability theory. Adaptive control rules were proposed for Rssler hyper chaotic systems. Theoretical analysis and numerical simulation show that the controlling strategy can implement full\|state hybrid projective synchronization for the chaotic systems with different initial conditions. The paper for the first time propose the synchronization that of the hyperchaotic Rssler system when its response system also has the constant diagonal matrix 〖WTHX〗α〖WT〗 simultaneously. In this letter, we used the term “IFSHPS” (an acronymfor improved full-state hybrid projective synchronization) to distinguish the “FSHPS”. The improved FSHPS scheme was given and illustrated with hyperchaotic Rssler system as an example. The corresponding numerical simulation results were presented to verify the effectiveness of the proposed scheme.

Key words: improved full-state hybrid projective synchronization, hyperchaotic system, full-state hybrid projective synchronization, adaptive control 

中图分类号: 

  • O415.5