Center problem for generic degenerate vector fields

Thumbnail Image

Files

1-s2.0-S0362546X21002169-main.pdf (764.19 KB)

Publication date

2022

Authors

Advisors

Department

Ciencias Integradas

Research group

Center

Metrics

Google Scholar

Export

Research Projects

Organizational Units

Journal Issue

URI

http://hdl.handle.net/10272/20538

DOI

10.1016/j.na.2021.112597

Abstract

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.

Keywords

Center problem; Degenerate vectors; Monodromy; Characteristic directions

Unesco Subjects

12 Matemáticas

Bibliographic citation

Algaba, A., Díaz, M., García, C., & Giné, J. (2022). Center problem for generic degenerate vector fields. Nonlinear Analysis, Theory, Methods & Applications, 214(112597), 112597. https://doi.org/10.1016/j.na.2021.112597

Collections

Artículos
Atribución-NoComercial-SinDerivadas 3.0 España
The license for this item is described as Atribución-NoComercial-SinDerivadas 3.0 España