@article{10272/25454, year = {2015}, month = {6}, url = {https://hdl.handle.net/10272/25454}, abstract = {The Newton diagram and, in particular, the lowest-degree quasi-homogeneous terms of 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.}, organization = {Supported by Ministerio de Ciencia y Tecnología, Plan Nacional I+D+I co-financed with FEDER funds, in the frame of the projects MTM2010-20907-C02-02, and by Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276 and P08-FQM-03770)}, publisher = {Springer}, keywords = {Ecuaciones diferenciales}, title = {Local phase portraits through the Newton diagram of a vector field}, author = {Algaba Durán, Antonio and Checa Camacho, Isabel and García García, Cristóbal and Reyes Columé, Manuel}, }