RT Journal Article
T1 Local phase portraits through the Newton diagram of a vector field
A1 Algaba Durán, Antonio
A1 Checa Camacho, Isabel
A1 García García, Cristóbal
A1 Reyes Columé, Manuel
K1 Ecuaciones diferenciales
AB The Newton diagram and, in particular,  the lowest-degree quasi-homogeneous termsof an analytic planar vector field allow us to determine the existence of characteristic orbits and separatrices of an isolated singular point. We give an easy algorithm for obtaining the local phase portrait near the origin of  a bi-dimensional differential system and we provide several examples.
PB Springer
SN 10.1007/s10114-015-3663-4
SN 1439-8516
SN 1439-7617 (electrónico)
YR 2015
FD 2015-06
LK https://hdl.handle.net/10272/25454
UL https://hdl.handle.net/10272/25454
LA eng
NO Algaba, A., Checa, I., García, C., & Reyes, M. (2015). Local phase portraits through the Newton diagram of a vector field. Acta Mathematica Sinica, English Series, 31(6), 1015–1034. https://doi.org/10.1007/s10114-015-3663-4
NO Supported by  Ministerio de Ciencia y Tecnología, Plan Nacional I+D+Ico-financed with FEDER funds, in the frame of the projectsMTM2010-20907-C02-02, and byConsejería de Educación y Ciencia de la Junta deAndalucía (FQM-276 and P08-FQM-03770)
DS Repositorio Institucional de la Universidad de Huelva
RD 15 jun 2026