基于帐篷映射的交叉耦合映象格子系统性能分析  

PERFORMANCE ANALYSIS OF CROSS COUPLED MAP LATTICES SYSTEM BASED ON TENT MAPPING

作　　者：徐浩强 刘建东[1] 钟鸣 Xu Haoqiang;Liu Jiandong;Zhong Ming(Information Engineering College,Beijing Institute of Petrochemical Technology,Beijing 102617,China)

机构地区：[1]北京石油化工学院信息工程学院,北京102617

出　　处：《计算机应用与软件》2025年第2期374-380,390,共8页Computer Applications and Software

基　　金：北京市教委面上项目(KM201810017005)。

摘　　要：交叉耦合映象格子系统具有“回返扩散”的特殊时空行为,该行为提高了系统的复杂度,可用于设计序列密码并用于数据加密,具有极高的密码学应用价值。采用帐篷映射作为交叉耦合映象格子系统的非线性函数,从不变分布特性、相空间结构、Lyapunov指数、近似熵等方面详细讨论“回返扩散”带来的特殊时空行为,并对系统产生的混沌序列进行差值分布特性、相关特性及均衡度分析。确定出系统参数与时空行为间存在的关系,为系统密码设计提供了理论依据。Cross coupled map lattices system(CCML)has a special spatiotemporal behavior of“return diffusion”,which increases the complexity of the system,can be used to design sequence ciphers and data encryption,and has extremely high cryptographic application value.Tent map was chosen as the non-linear function of cross coupled map lattices and a detailed analysis of spatiotemporal behavior of“return diffusion”was conducted from invariant distribution feature,phase space structure,Lyapunov exponent and approximate entropy.The difference distribution characteristics,correlation characteristics and equilibrium degree of chaotic sequences generated by the system was analyzed.The relationship between system parameters and spatio-temporal behavior was determined,which provided a theoretical basis for the design of system cryptography.

关 键 词：时空混沌 交叉耦合映象格子 帐篷映射 时空行为 序列 密码 

分 类 号：TP301.5[自动化与计算机技术—计算机系统结构]