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| 关于非游荡点性质的一点注记 | |
| 引用本文： | 张凤,李志从,牛春兰. 关于非游荡点性质的一点注记[J]. 东北师大学报(自然科学版), 2006, 38(1): 18-21 |
| 作者姓名： | 张凤 李志从 牛春兰 |
| 作者单位： | 北京航空航天大学理学院,北京,100083;河北师范大学数学与信息科学学院,河北,石家庄,050016;河北师范大学数学与信息科学学院,河北,石家庄,050016;华北电力大学科技学院,河北,保定,071000 |
| 摘 要： | 对连续流及其时间1映射的非游荡点的关系进行了研究.在指出有关定理证明的不当之处后,给出了连续流及其时间1映射的非游荡集相等的一个充分条件;同时对紧致二维流形证明了其上的连续流与其时间1映射的非游荡集是相等的. |
| 关 键 词： | 连续流 时间1同胚 非游荡点 紧致二维流形 |
| 文章编号： | 1000-1832（2006）01-0018-04 |
| 收稿时间： | 2005-06-20 |
| 修稿时间： | 2005-06-20 |
A note on the property of non-wandering points |
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| ZHANG Feng,LI Zhi-cong,NIU Chun-lan. A note on the property of non-wandering points[J]. Journal of Northeast Normal University (Natural Science Edition), 2006, 38(1): 18-21 | |
| Authors: | ZHANG Feng LI Zhi-cong NIU Chun-lan |
| Affiliation: | 1. School of Science, Beijing University of Aeronautics and Astronautics,Beijing 100083, China; 2. Institute of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050016 , China; 3. Science and Technology College,North China Electric Power University,Baoding 071000,China |
| Abstract: | The relationship of non-wandering points for a continuous flow and its time-one map is studied.A sufficent condition is given indicating that non-wandering sets are equal for a continuous flow and its time-one map,after a mistake in a paper is pointed out it is showed that non-wandering sets for them are equal on compact two-dimensional manifold. |
| Keywords: | continuous flow time-one homeomorphism non-wandering points compact two-dimensional manifold |
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