Chaos in the sense of Li-Yorke and the order of the inverse limit space

查看全文 作　　者：Jie [1]Lü;Xiangdong [1]Ye 机构地区：[1]Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China 出　　处：《Chinese Science Bulletin》索引1999年第44卷第11期,共5页 摘　　要：Let l=[0,1] and ω₀ be the first limit ordinal number. Assume that f:l→l is continuous, piece-wise monotone and the set of periods of f is {2ⁱ: i∈{0}∪N}. It is known that the order of (l, f) is ω₀ or ω₀ + 1. It is shown that the order of the inverse limit space (l, f) is ω₀ (resp. ω₀ + 1) if and only if f is not (resp. is) chaotic in the sense of Li-Yorke. 关 键 词：inverse limit space order of hereditarily decomposable chainable CONTINUA CHAOS in the SENSE of LI-YORKE REGULAR RECURRENT point.