A SURVEY ON THE BLOW UP TECHNIQUE

被引：91

作者：

Jesus Alvarez, Maria ^{[1
]}

Ferragut, Antoni ^{[2
]}

Jarque, Xavier ^{[3
]}

机构：

[1] Univ Illes Balears, Dept Matemat & Informat, Palma De Mallorca 07122, Spain

[2] Univ Politecn Cataluna, Dept Matemat Aplicada 1, E-08028 Barcelona, Catalunya, Spain

[3] Univ Rovira & Virgili, Dept Engn Informat & Matemat, Tarragona 43007, Catalunya, Spain

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2011年 / 21卷 / 11期

关键词：

Planar differential system; degenerate singular point; blow up; VECTOR-FIELDS; SINGULARITIES; INTEGRABILITY; PLANE;

D O I：

10.1142/S0218127411030416

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The blow up technique is widely used in desingularization of degenerate singular points of planar vector fields. In this survey, we give an overview of the different types of blow up and we illustrate them with many examples for better understanding. Moreover, we introduce a new generalization of the classical blow up.

引用

页码：3103 / 3118

页数：16

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