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

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Publication date

2015-10

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Ciencias Integradas

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https://hdl.handle.net/10272/25436

DOI

10.1016/j.cam.2015.03.018

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

Keywords

Ecuaciones diferenciales; Monodromy of vector fields; Characteristic orbits; Monodromy; Quasi-homogeneous vector fields; Nilpotent systems; Newton diagrams

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Bibliographic citation

Algaba, A., García, C., & Reyes, M. (2015). Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram. In Journal of Computational and Applied Mathematics (Vol. 287, pp. 78–87). Elsevier BV. https://doi.org/10.1016/j.cam.2015.03.018

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