引用本文:李芳,胡爱花,徐振源.类广义Lorenz系统的广义同步[J].控制理论与应用,2006,23(4):627~630.[点击复制]
LI Fang, HU Ai-hua, XU Zhen-yuan.Generalized synchronization of generalized Lorenz-like systems[J].Control Theory and Technology,2006,23(4):627~630.[点击复制]
类广义Lorenz系统的广义同步
Generalized synchronization of generalized Lorenz-like systems
摘要点击 1370  全文点击 724  投稿时间：2004-12-16  修订日期：2005-10-14
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DOI编号  10.7641/j.issn.1000-8152.2006.4.025
  2006,23(4):627-630
中文关键词  广义同步  广义Lorenz系统  双曲型广义Lorenz系统  广义Lorenz标准型
英文关键词  generalized synchronization  generalized Lorenz system  hyperbolic-type generalized Lorenz system  generalized Lorenz canonical form
基金项目  国家自然科学基金资助项目(10372054)．
作者单位
李芳,胡爱花,徐振源 江南大学 通信与控制工程学院,江苏 无锡214122
江南大学 理学院,江苏 无锡214122 
中文摘要
      应用广义Lorenz标准型研究了包括广义Lorenz系统、双曲型广义Lorenz系统以及Liu-Liu-Liu-Liu系统在内的类广义Lorenz系统的广义同步化问题．利用映射将一大类三阶二次混沌系统变换为广义Lorenz标准型,设计控制器使变换后的系统达到完全同步,进而使变换前的系统实现广义同步．将该方法分别用于拓扑等价和不等价的两个系统,通过数值仿真,发现结果和理论分析相符,从而表明了该方法的有效性．
英文摘要
      Based on the existing canonical form of systems, the generalized synchronization of generalized Lorenz-like systems, including generalized Lorenz systems, hyperbolic-type generalized Lorenz systems and Liu-Liu-Liu-Liu system, is investigated in this paper. Because a great number of chaotic systems can be transformed to generalized Lorenz canonical form systems by means of a specific map, a controller is thus designed to achieve complete synchronization of systems after conversion such that systems before conversion can achieve generalized synchronization. Moreover, the method is respectively tested in both topologically equivalent and unequivalent systems, and the numerical results demonstrate the effectiveness of the theoretical analysis.