Partial hyperbolicity far from homoclinic bifurcations
| dc.creator | Crovisier, Sylvain | |
| dc.date | 2008-09-29 | |
| dc.date.accessioned | 2026-07-07T10:06:10Z | |
| dc.date.available | 2026-07-07T10:06:10Z | |
| dc.description | We prove that any diffeomorphism of a compact manifold can be C^1-approximated by a diffeomorphism which exhibits a homoclinic bifurcation (a homoclinic tangency or a heterodimensional cycle) or by a diffeomorphism which is partially hyperbolic (its chain-recurrent set splits into partially hyperbolic pieces whose centre bundles have dimensions less or equal to two). We also study in a more systematic way the central models introduced in arXiv:math/0605387. | |
| dc.identifier | https://arxiv.org/abs/0809.4965 | |
| dc.identifier | http://arxiv.org/abs/0809.4965 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170235 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37C05, 37C20, 37C29, 37C50, 37D25, 37D30 | |
| dc.title | Partial hyperbolicity far from homoclinic bifurcations | |
| dc.type | text |