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一种类Lorenz系统与Lorenz系统的异结构混沌同步
引用本文:张晓刚,康太平,翟海峰,王宗峰.一种类Lorenz系统与Lorenz系统的异结构混沌同步[J].洛阳理工学院学报(自然科学版),2011(2):71-75.
作者姓名:张晓刚  康太平  翟海峰  王宗峰
作者单位:兰州交通大学数理与软件工程学院
摘    要:用两种不同的方法──主动控制法和Lyapunov直接法,实现了一种具有极其丰富的动力学现象的类Lorenz系统和Lorenz系统的异结构同步,并且设计了不同的控制器使得响应系统与驱动系统同步,采用Matlab进行数值仿真,方法切实可行。

关 键 词:类Lorenz系统  混沌吸引子  同步控制  主动控制法  Lyapunov函数直接法

On the Synchronization Between Lorenz-like System and Lorenz System
ZHANG Xiao-gang,KANG Tai-ping,ZHAI Hai-feng,WANG Zong-feng.On the Synchronization Between Lorenz-like System and Lorenz System[J].Journal of Luoyang Institute of Science and Technology,2011(2):71-75.
Authors:ZHANG Xiao-gang  KANG Tai-ping  ZHAI Hai-feng  WANG Zong-feng
Affiliation:(School of Mathematics,Physics and the Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)
Abstract:Two different methods-active control and Lyapunov direct methods have been used to realize the synchronization between Lorenz-like system and Lorenz system which possesses rich dynamic phenomenon.Also different controllers have been designed to obtain the synchronization between response system and drive system.Matlab has been adopted to carry out numerical simulation and results show that the method is feasible.
Keywords:Lorenz-like system  chaos attractors  synchronization control  active control method  Lyapunov’s direct method
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