6533b7d1fe1ef96bd125c4d7

RESEARCH PRODUCT

Plane foliations with a saddle singularity

Jean Venato-santosCarlos GutierrezJosé Martínez-alfaro

subject

Planar vector fieldsSingular foliationsPlane (geometry)Mathematical analysisPlanar vector fieldsType (model theory)SingularityFoliation (geology)Vector fieldGeometry and TopologyTopological conjugacySaddleMathematicsSaddle singularity

description

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.

yearjournalcountryeditionlanguage
2012-02-01Topology and its Applications
10.1016/j.topol.2011.09.023http://dx.doi.org/10.1016/j.topol.2011.09.023