Vector fields in R2 with maximal index

被引：0

作者：

Nabarro, A. C. ^{[1
]}

Ruas, M. A. S. ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP, Brazil

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2007年 / 58卷

基金：

巴西圣保罗研究基金会;

关键词：

D O I：

10.1093/qmath/hal017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the method of Poincare to investigate the local index of vector fields in the plane. If m is the degree of the first non-zero jet, X, of the vector field X at an isolated zero, we explore the geometry of the pencil generated by the coordinate functions of X when the absolute value of the index of X, vertical bar ind(X)vertical bar, is m. We also find necessary and sufficient conditions for vertical bar ind(X)vertical bar to be m.

引用

页码：81 / 90

页数：10

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