级联混沌系统Lyapunov指数研究  

Research on Lyapunov Exponent of Cascade Chaos System

作　　者：金建国[1] 魏明军[1] 邸志刚[2] 许广利[1] 贾春荣[2] 赵宏微[1] 

机构地区：[1]河北联合大学理学院,河北唐山063009 [2]河北联合大学理学院电气工程学院,河北唐山063009

出　　处：《计算机工程》2011年第19期12-16,共5页Computer Engineering

基　　金：河北省教育厅自然科学基金资助项目(2008451,2008457)

摘　　要：在现有变参级联混沌通信系统中,系统密钥出现短周期态会导致密钥泄漏。针对该问题,分析级联混沌系统中Lyapunov指数随级联子系统参量变化的分布情况以及实时加解密系统的安全性,指出即使各独立子系统的Lyapunov指数均为正,其级联系统的Lyapunov指数也可能为负,负Lyapunov指数将导致密钥泄漏。为此,设计一个短程相关性线程对系统密钥进行实时监测,防止短周期态的发生,从而较好解决密钥泄漏问题。According to the encrypt leakage of existing variable parameters cascade chaotic real-time secure communication system which occurs because of the emergence of short periodic state,this paper analyzes the Lyapunov exponents which vary with parameters in cascade system and the security of encryption and decryption in real-time variable parameters cascade chaotic system,points that even all the Lyapunov exponents in every independent subsystem are positive,the Lyapunov exponents in cascade system may be negative,and negative Lyapunov exponents will lead to secret key leakage.According to the problem,it designs a short-range correlation thread for real-time monitoring of system secret key to prevent the occurrence of short period state,result shows that this method can solve the secret key leakage problem.

关 键 词：级联混沌系统 LYAPUNOV指数 级联子系统 密钥泄漏 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]