@article{10272/25436, year = {2015}, month = {10}, url = {https://hdl.handle.net/10272/25436}, abstract = {Newton diagram of a planar vector field allows to determine whether a singular point of an analytic system is a monodromic singular point. We solve the monodromy problem for the nilpotent systems and we apply our method to a wide family of systems with a degenerate singular point, so-called generalized nilpotent cubic systems}, organization = {This work has been partially 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-1658).}, publisher = {Elsevier}, keywords = {Ecuaciones diferenciales}, title = {Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram}, doi = {10.1016/j.cam.2015.03.018}, author = {Algaba Durán, Antonio and García García, Cristóbal and Reyes Columé, Manuel}, }