A class of primitive substitutions and scrambled sets

• 来源期刊: 中国科学A辑(英文版)
• 年，卷（期）: 2008,（3）
• 页码范围: 369-375
• 页数: 7页
• 语种: 英文
• DOI: 10.1007/s11425-008-0010-6

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-Smital scrambled sets, we completely reveal for this class of subshifts the chaotic behaviors possibly occurring in the sense of Li-Yorke and Schweizer-Smital.