Perturbations of the derivative along periodic orbits
| hal.structure.identifier | Institut de Mathématiques de Bourgogne [Dijon] [IMB] | |
| dc.contributor.author | BONATTI, Christian | |
| hal.structure.identifier | Institut de Mathématiques de Bourgogne [Dijon] [IMB] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GOURMELON, Nicolas | |
| hal.structure.identifier | Institut de Mathématiques de Bourgogne [Dijon] [IMB] | |
| dc.contributor.author | THÉRÈSE, Vivier | |
| dc.date.accessioned | 2024-04-04T02:37:40Z | |
| dc.date.available | 2024-04-04T02:37:40Z | |
| dc.date.created | 2005-09-16 | |
| dc.date.issued | 2006 | |
| dc.identifier.issn | 0143-3857 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190818 | |
| dc.description.abstractEn | We show that a periodic orbit of large period of a diffeomorphism or flow, either admits a dominated splitting of a prescribed strength, or can be turned into a sink or a source by a C1-small perturbation along the orbit. As a consequence we show that the linear Poincaré flow of a C1-vector field admits a dominated splitting over any robustly transitive set. | |
| dc.language.iso | en | |
| dc.publisher | Cambridge University Press (CUP) | |
| dc.title.en | Perturbations of the derivative along periodic orbits | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Systèmes dynamiques [math.DS] | |
| bordeaux.journal | Ergodic Theory and Dynamical Systems | |
| bordeaux.page | 1307--1337 | |
| bordeaux.volume | 26 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 5 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00387484 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00387484v1 | |
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