微分系统离散系统的部分广义同步定理及在密码方案中的应用
Partial Generalized Synchronization Theorem of Differential and Discrete Systems with Applications in Encryption Scheme
基于控制理论方法,分别建立了微分方程系统和离散系统部分广义同步定理.定理为设计者提供了构造性的方法来设计控制器,使得两个独立的微分方程系统或离散系统按预先指定的变换实现部分广义同步.数值模拟例子验证了定理的有效性和可行性. 提出了一个基于部分广义同步的安全通讯方案.
his paper presents two theorems for designing controller to make two independent (chaotic) differential equation systems or two independent (chaotic) discrete systems realize directional partial generalized synchronization (PGS). Two numerical simulation examples are given to illustrate the effectiveness of the proposed Theorems. A non-symmetric encryption scheme is introduced based on the theorems. It can be expected that our theorems provide new tools for understanding and studying PGS phenomena and information encryption.
赵耿、荆建一、闵乐泉
数学通信
部分广义同步，混沌微分系统，混沌离散系统
partial generalizedsynchronization differential equation systems discrete systems chaos-based encrytion scheme
赵耿,荆建一,闵乐泉.微分系统离散系统的部分广义同步定理及在密码方案中的应用[EB/OL].(2007-01-22)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/200701-290.点此复制
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