Homoclinic classes for generic C^1 vector fields
| dc.creator | Carballo, C. M. | |
| dc.creator | Morales, C. A. | |
| dc.creator | Pacifico, M. J. | |
| dc.date | 2001-08-31 | |
| dc.date.accessioned | 2026-07-07T04:43:13Z | |
| dc.date.available | 2026-07-07T04:43:13Z | |
| dc.description | We prove that homoclinic classes for a residual set of C^1 vector fields X on closed n-manifolds are maximal transitive and depend continuously on periodic orbit data. In addition, X does not exhibit cycles formed by homoclinic classes. We also prove that a homoclinic class of X is isolated if and only if it is Omega-isolated, and that it is the intersection of its stable set and its unstable set. All these properties are well known for structurally stable Axiom A vector fields. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0108226 | |
| dc.identifier | http://arxiv.org/abs/math/0108226 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62121 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37C (primary); 37C20, 37C29 (secondary) | |
| dc.title | Homoclinic classes for generic C^1 vector fields | |
| dc.type | text |