Structural stability of attractor-repellor endomorphisms with singularities
| dc.creator | Berger, Pierre | |
| dc.date | 2008-09-01 | |
| dc.date.accessioned | 2026-07-07T09:59:46Z | |
| dc.date.available | 2026-07-07T09:59:46Z | |
| dc.description | We prove a theorem on structural stability of smooth attractor-repellor endomorphisms of compact manifolds, with singularities. By attractor-repellor, we mean that the non-wandering set of the dynamics $f$ is the disjoint union of a repulsive compact subset with a hyperbolic attractor on which $f$ acts bijectively. The statement of this result is both infinitesimal and dynamical. Up to our knowledge, this is the first in this hybrid direction. Our results generalize also a Mather's theorem in singularity theory which states that infinitesimal stability implies structural stability for composed mappings, to the larger category of laminations. | |
| dc.description | 37 pages | |
| dc.identifier | https://arxiv.org/abs/0809.0277 | |
| dc.identifier | http://arxiv.org/abs/0809.0277 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168143 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Differential Geometry | |
| dc.title | Structural stability of attractor-repellor endomorphisms with singularities | |
| dc.type | text |