POSITIVE SEQUENCE TOPOLOGICAL-ENTROPY CHARACTERIZES CHAOTIC MAPS

被引：39
作者：
FRANZOVA, N
SMITAL, J
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 112卷 / 04期
关键词：
D O I：
10.2307/2048657
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that a continuous map f of the interval is chaotic (in the sense of Li and Yorke) iff its sequence topological entropy h(A)(f) relative to a suitable increasing sequence A of times is positive. This result is interesting since the ordinary topological entropy h(f) of chaotic maps can be zero.
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页码：1083 / 1086
页数：4
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