Infinitesimal Hartman-Grobman Theorem in Dimension Three

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Title: Infinitesimal Hartman-Grobman Theorem in Dimension Three
Authors: Alonso-González, Clementa
Research Group/s: Grupo de Álgebra y Geometría (GAG) | Sistemas Dinámicos y Estadística (SISDINEST)
Center, Department or Service: Universidad de Alicante. Departamento de Matemáticas
Keywords: Vector fields | Singularities | Topological type | Newton polyhedron | Principal part
Knowledge Area: Geometría y Topología
Issue Date: 2015
Publisher: Academia Brasileira de Ciências
Citation: Anais da Academia Brasileira de Ciências. 2015, 87(3): 1499-1503. doi:10.1590/0001-3765201520140094
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.
Sponsor: This research was partially supported by the Spanish Government (MTM2010-15471 (subprogram MTM)).
URI: http://hdl.handle.net/10045/49908
ISSN: 0001-3765 | 1678-2690 (Online)
DOI: 10.1590/0001-3765201520140094
Language: eng
Type: info:eu-repo/semantics/article
Rights: Creative Commons Attribution License
Peer Review: si
Publisher version: http://dx.doi.org/10.1590/0001-3765201520140094
Appears in Collections:INV - GAG - Artículos de Revistas
INV - SISDINEST - Artículos de Revistas

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