| Analysis and confirmation of fixed points in logistic mapping digital-flow chaos |
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| 作者姓名： | GuobaoXu DelingZheng GengZhao |
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| 作者单位： | [1]InformationEngineeringSchool,UniversityofScienceandTechnologyBeijing,Beijing100083,China [2]ScienceandResearchCenter,BeijingElectronicScienceandTechnologyInstitute,Beijing100070,China |
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| 摘 要： | The fixed points in logistic mapping digital-flow chaos strange attractor are studied in detail. When k=n in logistic equation, there exist no more than 2n fixed points, which are deduced and proved theoretically. Three corollaries about the fixed points of logistic mapping are proposed and proved respectively. These theorem and corollaries provide a theoretical basis for choosing parameter of chaotic sequences in chaotic secure communication and chaotic digital watermarking. And they are testified by simulation.
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| 关 键 词： | 不动点理论 逻辑映射 混沌系统 逻辑方程 |
Analysis and confirmation of fixed points in logistic mapping digital-flow chaos |
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| GuobaoXu DelingZheng GengZhao.Analysis and confirmation of fixed points in logistic mapping digital-flow chaos[J].Journal of University of Science and Technology Beijing,2003,10(3):62-65. |
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| Authors: | Guobao Xu Deling Zheng Geng Zhao |
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| Abstract: | The fixed points in logistic mapping digital-flow chaos strange attractor are studied in detail. When k=n in logistic equation, there exist no more than 2n fixed points, which are deduced and proved theoretically. Three corollaries about the fixed points of logistic mapping are proposed and proved respectively. These theorem and corollaries provide a theoretical basis for choosing parameter of chaotic sequences in chaotic secure communication and chaotic digital watermarking. And they are testified by simulation. |
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| Keywords: | chaos logistic mapping fixed point strange attractor |
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