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HUANG Gui feng1, FAN Qin jie2
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Abstract: We investigated the kneading sequence of Feigenbaum’s map, definited the notion about * productfor finite sequence of 0~1, and proved via the properties of * product that such infinite sequences must be uniformly almost periodic points of the shift map in the symbolic space. Furthermore, we deduced that the kneading sequence for every porder Feigenbaum’s map is a uniformly almost periodic point of the shift map but not a periodic one.
Key words: Feigenbaum’s map, renormalization operator, symbolic dynamical system, almost periodic properties
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HUANG Gui feng, FAN Qin jie. Infinite * Product for Finite Sequence of 0~1[J].J4, 2007, 45(06): 912-914.
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URL: http://xuebao.jlu.edu.cn/lxb/EN/
http://xuebao.jlu.edu.cn/lxb/EN/Y2007/V45/I06/912
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