Perturbations of the derivative along periodic orbits
GOURMELON, Nicolas
Institut de Mathématiques de Bourgogne [Dijon] [IMB]
Institut de Mathématiques de Bordeaux [IMB]
Institut de Mathématiques de Bourgogne [Dijon] [IMB]
Institut de Mathématiques de Bordeaux [IMB]
GOURMELON, Nicolas
Institut de Mathématiques de Bourgogne [Dijon] [IMB]
Institut de Mathématiques de Bordeaux [IMB]
< Réduire
Institut de Mathématiques de Bourgogne [Dijon] [IMB]
Institut de Mathématiques de Bordeaux [IMB]
Langue
en
Article de revue
Ce document a été publié dans
Ergodic Theory and Dynamical Systems. 2006, vol. 26, n° 5, p. 1307--1337
Cambridge University Press (CUP)
Résumé en anglais
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. ...Lire la suite >
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.< Réduire
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