Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram

Algaba A. García C. Reyes M.
Journal of Computational and Applied Mathematics
Doi 10.1016/j.cam.2015.03.018
Volumen 287 páginas 78 - 87
2015-10-15
Citas: 3
Abstract
© 2015 Elsevier B.V.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.
Characteristic orbits, Monodromy, Newton diagrams, Nilpotent systems, Quasi-homogeneous vector fields
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