未知参数统一混沌系统同步及其保密通信应用  

Synchronization of Unified Chaotic System with Unknown Parameter and Its Secure Communication Application

作　　者：王灿妮 蔡建平 何建斌 WANG Canni;CAI Jianping;HE Jianbin(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou,Fujian 363000,China)

机构地区：[1]闽南师范大学数学与统计学院

出　　处：《闽南师范大学学报（自然科学版）》2019年第4期9-15,共7页Journal of Minnan Normal University：Natural Science

基　　金：国家自然科学基金项目(11847051);福建省自然科学基金项目(2019J01742)

摘　　要：研究未知参数统一混沌系统的同步与参数辨识问题及其保密通信方案.用Logistic映射迭代生成的数据替换驱动系统的参数,根据李雅普诺夫稳定性定理和主动控制方法,导出参数辨识率,使得驱动-响应统一混沌系统实现同步.利用参数辨识率和参数调制方法设计图像保密通信方案,以灰度图像为例验证该方案的可行性.The synchronization and parameter identification of unified chaotic system with unknown parameter are studied in this paper,and the secure communication scheme is designed.The data generated by the iterations of Logistic map are used to replace the unknown parameters of the driving system,and based on the Lyapunov stability theorem and active control method,the parameter identification rate is derived to synchronize the drive-response of the unified chaotic system.The corresponding secure communication scheme of image is designed by using the method of parameter modulation and the parameter identifaction rate,and the feasibility of the scheme is verified by taking gray image as an example.

关 键 词：统一混沌系统 混沌同步 参数识别 参数调制 保密通信 

分 类 号：O231.2[理学—运筹学与控制论] O236.2[理学—数学]