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不确定混沌系统的混合投影同步
引用本文:贾贞,陆君安,邓光明.不确定混沌系统的混合投影同步[J].数学杂志,2011,31(2):275-283.
作者姓名:贾贞  陆君安  邓光明
作者单位:1. 桂林理工大学理学院,广西,桂林,541004
2. 武汉大学数学与统计学院,湖北,武汉,430072
基金项目:National Natural Science Foundation of China,the Natural Science Foundation of Guangxi,the Science Foundation of Education Commission of Guangxi
摘    要:本文研究了一类不确定混沌(超混沌)系统的混合投影问题.利用自适应方法和Lyapunov稳定性理论,获得了两个恒同或不同混沌系统实现混沌投影同步的一般方法.最后,数值仿真的结果验证了方法的有效性和鲁棒性.

关 键 词:混合投影同步  不确定混沌系统  自适应技术  鲁棒性

HYBRID PROJECTIVE SYNCHRONIZATION OF UNCERTAIN CHAOTIC SYSTEMS
JIA Zhen,LU Jun-an,DENG Guang-ming.HYBRID PROJECTIVE SYNCHRONIZATION OF UNCERTAIN CHAOTIC SYSTEMS[J].Journal of Mathematics,2011,31(2):275-283.
Authors:JIA Zhen  LU Jun-an  DENG Guang-ming
Institution:JIA Zhen~1,LU Jun-an~2,DENG Guang-ming~1 (1.College of Science,Guilin University of Technology,Guilin 541004,China.) (2.School of Math.and Statistics,Wuhan University,Wuhan 430072,China)
Abstract:In this article,the hybrid projective synchronization(HPS)of a class of chaotic (or hyperchaotic)systems with uncertain parameters is studied.Based on the adaptive technique and Lyapunov stability theory,a general scheme is developed for realizing the HPS between two chaotic(or hyperchaotic)systems with identical or different structures in any scaling factor.Finally,some numerical simulations are provided to demonstrate the effectiveness and robustness of the proposed scheme.
Keywords:HPS  uncertain chaotic system  adaptive technique:robustness
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