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Anais da Academia Brasileira de Ciências

Print version ISSN 0001-3765On-line version ISSN 1678-2690

Abstract

ALONSO-GONZALEZ, CLEMENTA. Infinitesimal Hartman-Grobman Theorem in Dimension Three. An. Acad. Bras. Ciênc. [online]. 2015, vol.87, n.3, pp.1499-1503. ISSN 0001-3765.  https://doi.org/10.1590/0001-3765201520140094.

In this paper we give the main ideas to show that a real analytic vector field in R3 with a singular point at the origin is locally topologically equivalent to its principal part defined through Newton polyhedra under non-degeneracy conditions.

Keywords : Vector fields; singularities; topological type; Newton polyhedron; principal part.

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