The multipliers of periodic points in one-dimensional dynamics

被引：13
|
作者：
Martens, M [1 ]
de Melo, W
机构：
[1] SUNY Stony Brook, Inst Math Sci, Stony Brook, NY 11794 USA
[2] IMPA, BR-22460320 Rio De Janeiro, Brazil
来源：
NONLINEARITY | 1999年 / 12卷 / 02期
关键词：
D O I：
10.1088/0951-7715/12/2/003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It will be shown that the smooth conjugacy class of an S-unimodal map which has neither a periodic attractor nor a Canter attractor is determined by the multipliers of the periodic orbits. This generalizes a result by M Shub and D Sullivan (1985 Expanding endomorphism of the circle revisited Erg. Theor Dyn. Sys. 5 285-9) for smooth expanding maps of the circle. AMS classification scheme numbers: 58F03.
引用
收藏
页码：217 / 227
页数：11
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