RT Journal Article
T1 Analytic Integrability of Some Examples of Degenerate Planar Vector Fields
A1 Algaba Durán, Antonio
A1 García García, Cristóbal
A1 Giné, Jaume
AB This paper is devoted to the classification of analytic integrable cases of two families of degenerate planar vector fields with a monodromic singular point at the origin. This study falls in the still open degenerate center problem. This classification can be done using the formal normal form theory and knowing a suitable normal form of any differential systems associated to each family.
AB This paper is devoted to the classification of analytic integrable cases of two families of degenerate planar vector fields with a monodromic singular point at the origin. Thisstudy falls in the still open degenerate center problem. This classification can be done using the formal normal form theory and knowing a suitable normal form of any differentialsystems associated to each family.
PB Springer
SN 0167-8019
SN 1572-9036 (electrónico)
YR 2016
FD 2016
LK http://hdl.handle.net/10272/20906
UL http://hdl.handle.net/10272/20906
LA eng
NO Algaba, A., García, C., & Giné, J. (2014). Analytic Integrability of Some Examples of Degenerate Planar Vector Fields. In Acta Applicandae Mathematicae (Vol. 141, Issue 1, pp. 1–15). Springer Science and Business Media LLC. https://doi.org/10.1007/s10440-014-0001-2
NO The authors are grateful to the referees for their valuable remarks which helped toimprove the manuscript. The first and second authors are supported by a MINECO/FEDER grant numberMTM2010-20907-C02-02 and by the Consejería de Educación y Ciencia de la Junta de Andalucía (projectsP12-FQM-1658; TIC-130 and FQM-276). The third author is partially supported by a MINECO/FEDERgrant number MTM2011-22877 and by an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204.
DS Repositorio Institucional de la Universidad de Huelva
RD 31 may 2026