Analysis and confirmation of fixed points in logistic mapping digital-flow chaos

Guobao Xu, Deling Zheng, and Geng Zhao Information Engineering School, University of Science and Technology Beijing, Beijing 100083, China; Information School, Zhanjiang Ocean University, Zhanjiang 524088, China; Science and Research Center, Beijing Electronic Science and Technology Institute, Beijing 100070, China

摘 要：<正> 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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