ROTATION SETS AND MONOTONE PERIODIC-ORBITS FOR ANNULUS HOMEOMORPHISMS

被引：24
|
作者：
BOYLAND, P
机构：
[1] Institute for Mathematical Sciences, State University of New York, Stony Brook, 11794, NY
来源：
COMMENTARII MATHEMATICI HELVETICI | 1992年 / 67卷 / 02期
关键词：
D O I：
10.1007/BF02566496
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If f is a homeomorphism of the annulus and p/q is a rational in lowest terms that is contained in the rotation set of f then f has a (p, q)-topologically monotone periodic orbit. In addition, if f has a p/q-period orbit that is not topologically monotone then the Farey interval of p/q is contained in the rotation set of f.
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页码：203 / 213
页数：11
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