RT Journal Article
T1 Quasi-homogeneous linearization of degenerate vector fields
A1 Algaba Durán, Antonio
A1 García García, Cristóbal, Matemático
A1 Reyes Columé, Manuel
AB We characterize the analytic planar vector fields orbitally equivalent to itsquasi-homogeneous leader term, by means the existence of a class of inverseintegrating factors. Such a class of inverse integrating factors is determined byproviding a normal form of two-dimensional scalar functions. This fact allowsus to give some relevant criteria on t-linearization, analytical integrability andcharacterization of the centers for several families of planar vector fields. We studythe systems whose leader term is quadratic or cubic and we analyze also a class ofnilpotent systems
PB Elsevier
SN 0022-247X
SN 1096-0813 (electrónico)
YR 2020
FD 2020-03
LK https://hdl.handle.net/10272/25370
UL https://hdl.handle.net/10272/25370
LA eng
NO This work has been partially supported by Ministerio de Ciencia y Tecnología, Plan Nacional I+D+Ico-financed with FEDER funds, in the frame of the project PGC2018-096265-B-I00, and by Consejería deEducación y Ciencia de la Junta de Andalucía (FQM-276 and P12-FQM-1658).
DS Repositorio Institucional de la Universidad de Huelva
RD 1 jun 2026