On torus homeomorphisms whose rotation set is an interval

被引：13

作者：

Davalos, Pablo ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Cidade Univ, Brazil

来源：

MATHEMATISCHE ZEITSCHRIFT | 2013年 / 275卷 / 3-4期

关键词：

Rotation set; Torus homeomorphisms; Brouwer foliations; RECURRENCE; VECTORS;

D O I：

10.1007/s00209-013-1168-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that for a homeomorphism in the homotopy class of the identity and with a lift whose rotation set is an interval, either every rational point in is realized by a periodic orbit, or the dynamics of is annular, in the sense that there exists a periodic, essential, annular set for . In the latter case we also give a qualitative description of the dynamics.

引用

页码：1005 / 1045

页数：41

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