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Logistic映射數字流混沌奇怪吸引子及參數

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

  • 摘要: 對離散點混沌產生器進行了研究,并發現了具有"鋼盔"形奇怪吸引子.這將是對Logistic映射理論研究的補充和完善.而后,從理論上推導了Logistic映射在μ ∈(3.571 448,…,4)的區間特性,發現在該混沌帶內存在無窮多個穩定的不動點.這一發現為Logistic映射在數字混沌保密通信應用時的系統參數選取提供了理論依據.

     

    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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