Study of possible scenarios of singularity formation for generalized surface quasi...
Systems of transversal sections for 3-dimensional Reeb flows
| Full text | |
| Author(s): |
Gutierrez, Carlos
;
Martinez-Alfaro, Jose
;
Venato-Santos, Jean
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Topology and its Applications; v. 159, n. 2, p. 8-pg., 2012-02-01. |
| 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. (C) 2011 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 03/03107-9 - Qualitative theory of differential equations and singularity theory |
| Grantee: | Carlos Teobaldo Gutierrez Vidalon |
| Support Opportunities: | Research Projects - Thematic Grants |