Plane foliations with a saddle singularity

Autor(es)

Gutierrez, Carlos ; Martinez-Alfaro, Jose ; Venato-Santos, Jean

• Tipo de documento: Artigo Científico
• Fonte: Topology and its Applications; v. 159, n. 2, p. 8-pg., 2012-02-01.

Resumo

We study the set of planar vector fields with a unique singularity of hyperbolic saddle type. We found conditions to assure that a such vector field is topologically equivalent to a linear saddle. Furthermore, we describe the plane foliations associated to these vector fields. Such a foliation can be split in two subfoliations. One without restriction and another one that is topologically characterized by means of trees. (C) 2011 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 03/03107-9 - Teoria qualitativa de equações diferenciais e teoria de singularidades
• Beneficiário: Carlos Teobaldo Gutierrez Vidalon
• Modalidade de apoio: Auxílio à Pesquisa - Temático