The index of singularities of vector fields and finite jets

被引：3

作者：

Llibre, Jaume ^{[2
]}

Saghin, Radu ^{[1
]}

机构：

[1] Ctr Recerca Matemat, Barcelona 08193, Catalunya, Spain

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalunya, Spain

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 251卷 / 10期

关键词：

Topological index; Vector fields; Newton diagram; STRUCTURAL STABILITY; NEWTON POLYHEDRA; CRITICAL-POINTS; INFINITY; PLANE;

D O I：

10.1016/j.jde.2011.04.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe when the index of a singularity of a smooth vector field is determined by a finite jet at the singularity. We also give some criteria to determine some terms from the formal series expansion of the vector field at the singularity which determine the index. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2822 / 2832

页数：11

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