Infinitesimal Hartman-Grobman Theorem in Dimension Three

Anais da Academia Brasileira de Ciências

Clementa Alonso-gonzÁlez¹ 

关键词: Vector fields;    singularities;    topological type;    Newton polyhedron;    principal part;    Campos vetoriais;    singularidades;    tipo topológico;    poliedro de Newton;    parte principal;   

DOI  :  10.1590/0001-3765201520140094

来源: SciELO

【 摘 要 】

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.

【 授权许可】

CC BY   
 All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License