| ANTI-SADDLES OF A POLYNOMIAL SYSTEM |
| |
| 作者姓名： | Ye Yanqian |
| |
| 作者单位： | Departmellt of Mathematics，Naming University，Naming 210008，China. |
| |
| 摘 要： | ＡＮＴＩ－ＳＡＤＤＬＥＳＯＦＡＰＯＬＹＮＯＭＩＡＬＳＹＳＴＥＭ￥ＹＥＹＡＮＱＩＡＮ（ＤｅｐａｒｔｍｅｌｌｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＮａｍｉｎｇＵｎｉｖｅｒｓｉｔｙ，Ｎａｍｉｎｇ２１０００８，Ｃｈｉｎａ．）（Ｐｒｏｊｅｃｔｓｕｐｐｏｒｔｅｄｂｙｔｈ...
|
| 关 键 词： | 立方多项式微分 反鞍 指数定理 赤道 临界点 半球 |
| 收稿时间： | 1993/9/17 0:00:00 |
ANTI-SADDLES OF A POLYNOMIAL SYSTEM |
| |
| Ye Yanqian.ANTI-SADDLES OF A POLYNOMIAL SYSTEM[J].Chinese Annals of Mathematics,Series B,1995,16(4):453-458. |
| |
| Authors: | Ye Yanqian |
| |
| Institution: | DepartmentofMathematics,NanjingUniversity,Nanjing210008,China |
| |
| Abstract: | By using the generalized Poincar\'e index theorem it is proved
that if the $n^2$ critical points of an $n$-polynomial system
form a configuration of type
$(2n-1)-(2n-3)+(2n-5)-\cdots+(-1)^{n-1},$ and the $2n-1$ outmost
anti-saddles form the vertices of a convex $(2n-1)$-polygon, then
among these $2n-1$ anti-saddles at least one must be a node. |
| |
| Keywords: | Polynomial system Anti-saddle Poincare index theorem Equator |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
