Limit sets ofS-unimodal maps with zero entropy
Limit sets ofS-unimodal maps with zero entropy
复制标题
零熵的 S-单峰映射的极限集
DOI：
10.1007/bf01205554
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发表时间：
1987
影响因子：
2.4
通讯作者：
J. Guckenheimer
中科院分区：
文献类型：
--
作者：
J. Guckenheimer
本文研究了一维映射“在倍周期极限下”的性质，而不是利用费根鲍姆等人的重整化理论。主要结果是，在假设映射具有负Schwarzian导数的前提下，非游荡集的吸引部分是测度为零的Cantor集。
One-dimensional mappings “at the limit of period doubling” are studied in this paper without the use of the renormalization theory of Feigenbaum and others. The principal result is that the attracting part of the nonwandering set is a Cantor set of measure zero under the additional assumption that the map has negative Schwarzian derivative.