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Infinitesimal Hartman-Grobman Theorem in Dimension Three

ABSTRACT

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.

Key words:
Vector fields; singularities; topological type; Newton polyhedron; principal part

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