文献类型：期刊文献

中文题名：混沌系统的广义错位修正函数投影同步

英文题名：Generalized Dislocated Modified Functional Projective Synchronization of Chaotic Systems

作者：李德奎[1]

第一作者：李德奎

机构：[1]甘肃中医药大学理科教学部

第一机构：甘肃中医药大学定西校区

年份：2019

卷号：41

期号：11

起止页码：37

中文期刊名：西南大学学报（自然科学版）

外文期刊名：Journal of Southwest University(Natural Science Edition)

收录：CSTPCD;;北大核心:【北大核心2017】；CSCD:【CSCD_E2019_2020】；

基金：国家自然科学基金项目(11161027);甘肃省自然科学基金项目(1610RJZA080);甘肃省高等学校科研项目(2017A-155)

语种：中文

中文关键词：混沌系统;广义错位;自适应控制;修正函数投影同步;近似熵

外文关键词：generalized dislocation;chaotic system;adaptive control;modified functional projective synchronization;approximate entropy

摘要：首先介绍混沌系统的广义错位修正函数投影同步原理.然后根据驱动系统和响应系统维数的3种大小关系,选取驱动系统和响应系统,并根据Lyapunov稳定性方法构造响应系统的自适应控制器,实现驱动系统和受控响应系统的广义错位修正函数投影同步,数值仿真的结果表明了自适应控制器的正确性和有效性.最后计算广义错位修正函数投影同步混沌时间序列的近似熵,得出这样的同步混沌时间序列的复杂度更高,能够提高保密通信和图像加密的安全性.
Firstly,the principle of generalized dislocated modified functional projective synchronization for the chaotic systems is introduced.Then,according to the three dimension sizes of the drive system and the response system,the drive system and the response system are selected.Adaptive controllers of the response systems are constructed according to the Lyapunov stability method to realize generalized dislocated modified functional projective synchronization of the drive systems and the response systems.The results of numerical simulation show that the adaptive controllers are correct and effective.Finally,the approximate entropy of chaotic time series about generalized dislocated modified functional projective synchronization is calculated,which demonstrates that the complexity of such synchronous chaotic time series is higher,thus improving the security of secure communication and image encryption.