杜芬方程形状同步控制及其在保密通信中的应用  

Shape synchronization of Duffing equation control and its application in secret communication

作　　者：黄园媛[1,2] 王银河[1] 

机构地区：[1]广东工业大学自动化学院,广东广州510006 [2]长沙理工大学计算机与通信工程学院,湖南长沙410004

出　　处：《长沙理工大学学报（自然科学版）》2015年第3期104-109,共6页Journal of Changsha University of Science and Technology:Natural Science

基　　金：国家自然科学基金资助项目(61273219);教育部博士点建设专项资助(S2013010015768)

摘　　要：从杜芬系统的混沌吸引子的形状出发,提出了形状同步的概念。基于平面曲线基本定理,利用杜芬系统的混沌吸引子的形状特征,设计了驱动响应形状同步控制器,实现了杜芬方程和响应系统完全形状同步。结合混沌掩盖方法,设计了基于杜芬方程的形状同步混沌保密通信方案。数值仿真结果进一步验证了同步方法的可行性和实用性。From the point of the shape of chaotic attractor of duffing system,the concept of the shape synchronization is put forward.Based on the fundamental theorem on plane curves,using the shape feature of duffing system’s chaotic attractor,the continuous con-troller for shape synchronization is designed at first,which can guarantee the response sys-tem completely synchronized with the duffing chaotic system in shape.Then,by combining with the chaotic masking method,the shape synchronization was applied in chaotic secrete communication.Numerical simulation results show that the scheme is feasible and applica-ble.

关 键 词：杜芬方程 驱动响应形状同步 混沌吸引子 曲率 保密通信 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]