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A Characterization of Unimodal Maps with Embedded Adding Machines
Topology and its Applications ( IF 0.6 ) Pub Date : 2021-01-15 , DOI: 10.1016/j.topol.2021.107608 Lori Alvin
中文翻译:
具有嵌入式加法器的单峰映射的刻画
更新日期:2021-01-18
Topology and its Applications ( IF 0.6 ) Pub Date : 2021-01-15 , DOI: 10.1016/j.topol.2021.107608 Lori Alvin
This paper investigates a constructive characterization of kneading sequences belonging to unimodal maps with embedded adding machines. It takes the concept of a -regular scheme, which can be used to generate all kneading sequences of unimodal maps for which the turning point is regularly recurrent, and adds an extra condition that guarantees the constructed kneading sequence will additionally belong to a unimodal map with an embedded adding machine. Furthermore, every kneading sequence belonging to a unimodal map with an embedded adding machine can be constructed in this manner.
中文翻译:
具有嵌入式加法器的单峰映射的刻画
本文研究了使用嵌入式添加机对属于单峰图的捏合序列的建设性表征。它采用了-常规方案,可用于生成拐点定期重复的单峰映射的所有揉合序列,并添加了额外条件,以确保所构建的捏合序列将另外属于具有嵌入式加法器的单峰映射。此外,可以以这种方式构造属于单峰图的具有嵌入式加法器的每个揉合序列。