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Some Combinatorial Properties of Words in Discrete Dynamical Systems from Antisymmetric Cubic Maps 被引量:1
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作者 Ke Bo LU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第11期2181-2192,共12页
In this paper, we study the combinatorial properties ol words m chscrete dynamical systems from antisymmetric cubic maps. We also discuss the relationship of primitive kneading sequences of length n and period-doublin... In this paper, we study the combinatorial properties ol words m chscrete dynamical systems from antisymmetric cubic maps. We also discuss the relationship of primitive kneading sequences of length n and period-doubling kneading sequences of length 2n, and then determine the number of all kneading sequences of length n. 展开更多
关键词 MSS sequence MSbius inversion parity-lexicographic order
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On Word Equations Originated from Discrete Dynamical Systems Related to Antisymmetric Cubic Maps with Some Applications
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作者 Elias ABBOUD 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2018年第11期1663-1676,共14页
In this article, we solve some word equations originated from discrete dynamical systems related to antisymmetric cubic map. These equations emerge when we work with primitive and greatest words. In particular, we cha... In this article, we solve some word equations originated from discrete dynamical systems related to antisymmetric cubic map. These equations emerge when we work with primitive and greatest words. In particular, we characterize all the cases for which (β1β1) = (β2β) where β1 and β2 are the greatest words in 〈〈β31〉〉 and 〈〈β32〉〉 of M(n). 展开更多
关键词 Word equation broken alternating word primitive word greatest word parity-lexicographic order
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