Geodesic flow, connecting orbits and almost full foliation

被引:0
作者
Cheng Jian [1 ]
Meng Long [1 ]
机构
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2006年 / 49卷 / 12期
基金
中国国家自然科学基金;
关键词
geodesic flows; rotation numbers; minimal configurations; connecting orbits;
D O I
10.1007/s11425-006-1831-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study in this article a special dynamical behavior of geodesic flow on T-2. Our example shows that there is an area-preserving monotone twist map for which all minimal periodic orbits can be connected, and at the same time for a certain rational rotation number the minimal set is almost an invariant curve.
引用
收藏
页码:1830 / 1838
页数:9
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