| Автор | Jaime Vera |
| Дата выпуска | 1996-07-01 |
| dc.description | Stability of generic arcs of hyperbolic vector fields having a bifurcation due to the creation of a quasi-transversal intersection orbit is studied under the assumption that The main novelty is the treatment that we give to the case where this quasi-transversal orbit is in the intersection of the unstable manifold of some orbit of a non-trivial basic set: we prove its stability using some special neighbourhood structure that resembles Thurston's `train tracks'. Following closely the ideas of Palis and Smale, our approach also provides a direct geometric proof of the stability of hyperbolic flows satisfying the transversality condition, a fact proved in all dimensions by Robinson. This original geometric approach has played a key role in the study of bifurcation and stability of parametrized families of vector fields as described by several authors. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Stability of quasi-transversal bifurcation of vector fields on 3-manifolds |
| Тип | paper |
| DOI | 10.1088/0951-7715/9/4/008 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 9 |
| Первая страница | 943 |
| Последняя страница | 972 |
| Аффилиация | Jaime Vera; Departamento de Matemáticas, Universidad Católica del Norte, Casilla 1280, Antofagasta, Chile |
| Выпуск | 4 |
