| 空间Arnold猫映射耦合帐篷映象格子模型的密码学特性分析 |
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| 引用本文： | 商凯,刘建东,张啸,胡辉辉. 空间Arnold猫映射耦合帐篷映象格子模型的密码学特性分析[J]. 北京石油化工学院学报, 2016, 24(4): 54-60 |
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| 作者姓名： | 商凯 刘建东 张啸 胡辉辉 |
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| 作者单位： | 北京石油化工学院信息工程学院,北京,102617;北京石油化工学院信息工程学院,北京,102617;北京石油化工学院信息工程学院,北京,102617;北京石油化工学院信息工程学院,北京,102617 |
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| 基金项目： | 北京市自然科学基金项目(4112018) |
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| 摘 要： | 采用具有均匀分布特性的帐篷映射作为耦合映象格子系统的非线性函数,并用Arnold猫映射作为耦合映象格子模型中格点间的耦合方式,对典型的时空混沌模型-耦合映象格子系统进行了改进,从互信息、分布特性、相空间结构、复杂度和Lyapunov指数等方面对其进行了仿真实验和分析。仿真实验结果表明,空间Arnold猫映射耦合帐篷映象格子模型的空间格子序列具有独立性,并且系统的遍历性及统计分布特性均得到改善。
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| 关 键 词： | 耦合映象格子 帐篷映射 Arnold猫映射 互信息 |
Cryptographic Analysis of Spatial Arnold Coupled Tent Map Lattices System |
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| SHANG Kai,LIU Jiandong,ZHANG Xiao,HU Huihui. Cryptographic Analysis of Spatial Arnold Coupled Tent Map Lattices System[J]. Journal of Beijing Institute of Petro-Chemical Technology, 2016, 24(4): 54-60 |
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| Authors: | SHANG Kai LIU Jiandong ZHANG Xiao HU Huihui |
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| Abstract: | By employing equally distributed tent map as the nonlinear function and Arnold cat maps as the coupling method between lattices in coupled map lattices ,this paper proposed Arnold Coupled Tent Map Lattices system(ACTML) based on the classic model of spatiotemporal chaos-Coupled Map Lattices system (CML) .A detailed analysis of the system is done compared with Coupled Map Lattices system ,including mutual information ,distribution character ,phase space structure ,complexity , and Lyapunov exponent . The results indicate that spatial lattices of Arnold Coupled Tent Map Lattices system are independent of each others .In addition ,ergodicity and distributions are enhanced . |
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| Keywords: | coupled map lattices tent map arnold cat maps mutual information |
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