| 题名 | A FIXED POINT THEOREM FOR TWIST MAPS |
| 作者 | |
| 通讯作者 | Xia, Zhihong |
| 发表日期 | 2022-04-01
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| DOI | |
| 发表期刊 | |
| ISSN | 1078-0947
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| EISSN | 1553-5231
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| 摘要 | Poincare's last geometric theorem (Poincare-Birkhoff Theorem [2]) states that any area-preserving twist map of annulus has at least two fixed points. We replace the area-preserving condition with a weaker intersection property, which states that any essential simple closed curve intersects its image under f at least at one point. The conclusion is that any such map has at least one fixed point. Besides providing a new proof to Poincare's geometric theorem, our result also has some applications to reversible systems. |
| 关键词 | |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
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| 学校署名 | 其他
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| WOS研究方向 | Mathematics
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| WOS类目 | Mathematics, Applied
; Mathematics
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| WOS记录号 | WOS:000785991300001
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| 出版者 | |
| ESI学科分类 | MATHEMATICS
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| 来源库 | Web of Science
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| 引用统计 |
被引频次[WOS]：2
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| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/333471 |
| 专题 | 理学院_数学系 |
| 作者单位 | 1.Northwestern Univ, Dept Math, Evanston, IL 60208 USA 2.Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China |
| 推荐引用方式 GB/T 7714 |
Xia, Zhihong,Yu, Peizheng. A FIXED POINT THEOREM FOR TWIST MAPS[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2022.
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| APA |
Xia, Zhihong,&Yu, Peizheng.(2022).A FIXED POINT THEOREM FOR TWIST MAPS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS.
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| MLA |
Xia, Zhihong,et al."A FIXED POINT THEOREM FOR TWIST MAPS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2022).
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| 条目包含的文件 | 条目无相关文件。 | |||||
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