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A class of primitive substitutions and scrambled sets 被引量：7

A class of primitive substitutions and scrambled sets
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摘要 Consider the subshifts induced by constant-length primitive substitutions on two symbols. By investigating the equivalent version for the existence of Li-Yorke scrambled sets and by proving the non-existence of Schweizer-Smítal scrambled sets, we completely reveal for this class of subshifts the chaotic behaviors possibly occurring in the sense of Li-Yorke and Schweizer-Smítal. Consider the subshifts induced by constant-length primitive substitutions on two symbols. By investigating the equivalent version for the existence of Li-Yorke scrambled sets and by proving the non-existence of Schweizer-Smítal scrambled sets, we completely reveal for this class of subshifts the chaotic behaviors possibly occurring in the sense of Li-Yorke and Schweizer-Smítal.
作者 LIAO GongFu FAN QinJie WANG LiDong
机构地区 College of Mathematics College of Mathematics Department of Mathematics
出处 《Science China Mathematics》 SCIE 2008年第3期369-375,共7页 中国科学：数学（英文版）
基金 the National Natural Science Foundation of China (Grant No. 10771084) the Education Department Foundation of Jilin Province (Grant No. 200568) the Foundations of Dalian Nationalities University and Jilin Normal University
关键词 primitive substitution SUBSHIFT Li-Yorke scrambled set Schweizer-Smítal scrambled set 54H20 58F03 58F08 primitive substitution subshift Li-Yorke scrambled set Schweizer-Smital scrambled set
分类号 O19 [理学—基础数学]
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参考文献21

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二级参考文献10

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Science China Mathematics
2008年 第3期

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