Vector fields with stable shadowable property on closed surfaces

被引：1
|
作者：
Zhu, Sheng Zhi [1 ]
机构：
[1] Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2010年 / 26卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Pseudo orbit; shadowing; stable shadowable; ORBIT-TRACING-PROPERTY; DIFFEOMORPHISMS;
D O I：
10.1007/s10114-010-9418-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the set of vector fields satisfying the C (1) stable shadowable property on closed surfaces is characterized as the set of Morse-Smale vector fields. Hence, the vector fields satisfying shadowing property on closed surfaces are C (1) dense.
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页码：1449 / 1456
页数：8
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