A pasting lemma and some applications for conservative systems
| dc.creator | Arbieto, Alexander | |
| dc.creator | Matheus, Carlos | |
| dc.date | 2006-01-18 | |
| dc.date.accessioned | 2026-07-07T10:06:29Z | |
| dc.date.available | 2026-07-07T10:06:29Z | |
| dc.description | We prove that in a compact manifold of dimension $n\geq 2$, a $C^{1+α}$ volume-preserving diffeomorphisms that are robustly transitive in the $C^1$-topology have a dominated splitting. Also we prove that for 3-dimensional compact manifolds, an isolated robustly transitive invariant set for a divergence-free vector field can not have a singularity. In particular, we prove that robustly transitive divergence-free vector fields in 3-dimensional manifolds are Anosov. For this, we prove some ``pasting'' lemma, which allows to make perturbations in conservative systems. | |
| dc.identifier | https://arxiv.org/abs/math/0601433 | |
| dc.identifier | http://arxiv.org/abs/math/0601433 | |
| dc.identifier | Ergodic Theory and Dynamical Systems, vol. 27, 1399-1417 (2007). | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170343 | |
| dc.subject | Dynamical Systems | |
| dc.title | A pasting lemma and some applications for conservative systems | |
| dc.type | text |