Infinitesimal Hartman-Grobman Theorem in Dimension Three

DOI10.1590/0001-3765201520140094zbMath1332.32039OpenAlexW2262578769WikidataQ50802249 ScholiaQ50802249MaRDI QIDQ3464028

Clementa Alonso-González

Publication date: 20 January 2016

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1590/0001-3765201520140094

zbMATH Keywords

singularitiestopological typeNewton polyhedrareal analytic vector fields

Mathematics Subject Classification ID

Singularities of vector fields, topological aspects (58K45) Singularities of holomorphic vector fields and foliations (32S65)

Cites Work

• Absolutely isolated singularities of holomorphic vector fields
• Topological classification of multiple saddle connections
• Topological equivalence of a plane vector field with its principal part defined through Newton polyhedra
• A contribution to the topological classification of homogeneous vector fields in \(R^ 3\)
• Genericity of hyperbolic homogeneous vector fields in \(\mathbb{R}^ 3\)
• Topological equivalence for saddle connections
• Singularities of vector fields on ℝ³ determined by their first non-vanishing jet

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