Article ID Journal Published Year Pages File Type
4659827 Topology and its Applications 2012 8 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology