Vector Fields with Stable Shadowable Property on Closed Surfaces  

作　　者：Sheng Zhi ZHU 

机构地区：[1]School of Science, Beijing Jiaotong University, Beijing 100044, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2010年第8期1449-1456,共8页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No. 10871019)

摘　　要：We prove that the set of vector fields satisfying the C1 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 C1 dense.We prove that the set of vector fields satisfying the C1 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 C1 dense.

关 键 词：Pseudo orbit SHADOWING stable shadowable 

分 类 号：O175.1[理学—数学] TM727.2[理学—基础数学]