郑德玲, 赵耿, 徐国保. Logistic映射数字流混沌奇怪吸引子及参数[J]. 工程科学学报, 2002, 24(3): 350-352. DOI: 10.13374/j.issn1001-053x.2002.03.074
引用本文: 郑德玲, 赵耿, 徐国保. Logistic映射数字流混沌奇怪吸引子及参数[J]. 工程科学学报, 2002, 24(3): 350-352. DOI: 10.13374/j.issn1001-053x.2002.03.074
ZHENG Deling, ZHAO Geng, XU Guobao. Logistic Mapping Digital-flow Chaos Strange Attractor and Its Parameter Analysis[J]. Chinese Journal of Engineering, 2002, 24(3): 350-352. DOI: 10.13374/j.issn1001-053x.2002.03.074
Citation: ZHENG Deling, ZHAO Geng, XU Guobao. Logistic Mapping Digital-flow Chaos Strange Attractor and Its Parameter Analysis[J]. Chinese Journal of Engineering, 2002, 24(3): 350-352. DOI: 10.13374/j.issn1001-053x.2002.03.074

Logistic映射数字流混沌奇怪吸引子及参数

Logistic Mapping Digital-flow Chaos Strange Attractor and Its Parameter Analysis

  • 摘要: 对离散点混沌产生器进行了研究,并发现了具有"钢盔"形奇怪吸引子.这将是对Logistic映射理论研究的补充和完善.而后,从理论上推导了Logistic映射在μ ∈(3.571 448,…,4)的区间特性,发现在该混沌带内存在无穷多个稳定的不动点.这一发现为Logistic映射在数字混沌保密通信应用时的系统参数选取提供了理论依据.

     

    Abstract: A new type of chaos generator, digital-flow chaos generator is proposed. The strange attractor like ‘helmet’ in Logistic mapping digital-flow chaos generator is found by simulation. The section characteris-tic of Logistic mapping in theory is deduced. And infinitude of immovable points in Logistic mapping chaos section during μ∈(3.57l448,...,4) is found. The basis of chosen parameter for chaotic secure communication is provided.

     

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