Infinitesimal Hartman-Grobman Theorem in Dimension Three

Abstract

ABSTRACTIn 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

• Campos vetoriais
• singularidades
• tipo topológico
• poliedro de Newton
• parte principal