Journal of Frontiers of Computer Science and Technology ›› 2017, Vol. 11 ›› Issue (3): 389-395.DOI: 10.3778/j.issn.1673-9418.1603083

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Integral Nonlinear Coupled Map Lattices Model and Performance Analysis

SHANG Kai1,2, LIU Jiandong1+, ZHANG Xiao1,2, HU Huihui1,2   

  1. 1. College of Information Engineering, Beijing Institute of Petrochemical Technology, Beijing 102617, China
    2. College of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China
  • Online:2017-03-01 Published:2017-03-09


商  凯1,2,刘建东1+,张  啸1,2,胡辉辉1,2   

  1. 1. 北京石油化工学院 信息工程学院,北京 102617
    2. 北京化工大学 信息科学与技术学院,北京 100029

Abstract:  By using nonlinear map—Arnold cat map as the coupling method between lattices and integral Logistic function and integral Tent function as the nonlinear function, this paper proposes the integral nonlinear coupled map lattices model based on the typical spatiotemporal chaos model—coupled map lattices model. The features of the proposed model include uniform distribution and independence. The mutual information between lattices, the distribution character, the difference characteristics, and randomness are measured to investigate the chaotic behaviors of the proposed system. The simulation results indicate that the proposed model is able to generate excellent pseudo-random sequences in parallel and each sequence is independent with others.

Key words: nonlinear couple, Arnold cat map, Logistic map, Tent map

摘要: 以时空混沌研究领域的典型例子——耦合映象格子模型为原型,采用非线性Arnold猫映射作为格点间的耦合方式,分别选用Logistic映射及Tent映射作为其格点的非线性函数,并将非线性函数进行整数化处理,进而构造出一种整数非线性耦合映象格子模型,模型生成序列具有均匀分布特性及独立性。对模型格点间的互信息、模型生成序列的分布特性、差值特性进行了仿真分析,并对模型生成序列进行了随机性测试。仿真结果表明,模型能够并行生成相互独立的性能良好的伪随机序列。

关键词: 非线性耦合, Arnold猫映射, Logistic映射, Tent映射