SC混沌比例投影同步方法在保密通信中的应用

计算物理 ›› 2016, Vol. 33 ›› Issue (1): 117-126.

• 研究论文 • 上一篇

SC混沌比例投影同步方法在保密通信中的应用

钱慧, 于洪洁

上海交通大学船舶海洋与建筑工程学院工程力学系, 上海 200240

收稿日期:2014-11-21 修回日期:2015-04-27 出版日期:2016-01-25 发布日期:2016-01-25
作者简介:钱慧(1991-),男,研究方向为非线性动力学混沌同步与控制,E-mail:656791@sjtu.edu.cn;于洪洁(1968-),女,副教授,研究方向为神经动力学、混沌同步与控制,E-mail:yuhongjie@sjtu.edu.cn
基金资助:
国家自然科学基金（10802030）资助项目

Application of SC Projective Synchronization Method in Secure Communication

QIAN Hui, YU Hongjie

Department of Engineering Mechanics, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received:2014-11-21 Revised:2015-04-27 Online:2016-01-25 Published:2016-01-25

摘要/Abstract

摘要： 利用基于线性稳定性准则的SC混沌比例投影同步方法，提出一种应用于保密通信的混沌掩盖方案.适当分离出混沌系统的线性项与非线性项，构造一个非线性驱动向量函数，混沌状态变量包含用于投影同步的比例因子，把所需传递的有用信息掩盖入其中一个分量上，得到混沌载波信号，提高加密信息的复杂度和解码的困难度.以Lorenz吸引子和超混沌Rössler吸引子为例进行数值仿真，详细分析传输的正弦信息加密解密全过程，给出简单、最优的混沌掩盖方案，数值分析证明比例投影同步方法应用于保密通信领域的有效性.

关键词: 保密通信, 混沌掩盖, 投影同步, 雅克比矩阵

Abstract: A method of projective synchronization based on stability criterion of linear systems is introduced and a technical scheme of chaotic masking for secure communication is proposed. A nonlinear drive vector function of special chaotic state variable is constructed with scaling factor α for chaotic synchronization by separating linear and nonlinear terms properly. Transmission information is injected into one element of state vector as carrier signal. Complexity of masking information and decoding difficulty is increased. Lorenz attractor and hyper-chaotic Rössler attractor are used as an example to simulate sinusoidal information. Amplitude and frequency of signal can be chosen in a wide range. Added scale factor α makes decryption process more complex, thus improving security of communication. The method is proved effective for secure communication.

Key words: secure communication, chaotic-masking, projective synchronization, Jacobian matrix

中图分类号:

O322
TN918

钱慧, 于洪洁. SC混沌比例投影同步方法在保密通信中的应用[J]. 计算物理, 2016, 33(1): 117-126.

QIAN Hui, YU Hongjie. Application of SC Projective Synchronization Method in Secure Communication[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(1): 117-126.

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SC混沌比例投影同步方法在保密通信中的应用

Application of SC Projective Synchronization Method in Secure Communication

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