Characterization of a monodromic singular point of a planar vector field

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Publication date

2011-11

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Ciencias Integradas

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https://hdl.handle.net/10272/25440

DOI

10.1016/j.na.2011.05.023

Abstract

The Newton diagram and the lowest-degree quasi-homogeneous terms of an analytic planar vector field allow us to determine whether an isolated singular point of the vector field is monodromic or has a characteristic trajectory.

Keywords

Ecuaciones diferenciales; Characteristic orbits; Monodromy of vector fields; Monodromy; Characteristic orbits

Unesco Subjects

1206.02 Ecuaciones Diferenciales

Bibliographic citation

Algaba, A., García, C., & Reyes, M. (2011). Characterization of a monodromic singular point of a planar vector field. In Nonlinear Analysis: Theory, Methods & Applications (Vol. 74, Issue 16, pp. 5402–5414). Elsevier BV. https://doi.org/10.1016/j.na.2011.05.023

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