Center problem for generic degenerate vector fields

被引：1

作者：

Algaba, Antonio ^{[1
]}

Diaz, Maria ^{[1
]}

Garcia, Cristobal ^{[1
]}

Gine, Jaume ^{[2
]}

机构：

[1] Univ Huelva, Fac Ciencias, Dept Matemat, Huelva, Spain

[2] Univ Lleida, Dept Matemat, Av Jaume 2 69, Lleida 25001, Catalonia, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 214卷

关键词：

Center problem; Degenerate vectors; Monodromy; Characteristic directions; FOCUS-CENTER PROBLEM; ANALYTIC INTEGRABILITY; DIFFERENTIAL-EQUATIONS; NILPOTENT; MONODROMY; SYSTEMS; STABILITY; ALGORITHM;

D O I：

10.1016/j.na.2021.112597

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize the method of construction of an integrating factor for Abel differential equations, developed in Briskin et al. (1998), for any generic monodromic singularity. Here generic means that the vector field has not characteristic directions in the quasi-homogeneous leading term in certain coordinates. We apply this method to some degenerate differential systems. (C) 2021 The Author(s). Published by Elsevier Ltd.

引用

页数：23

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