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]
< Reduce
Institut de Mathématiques de Bourgogne [Dijon] [IMB]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Article de revue
This item was published in
Ergodic Theory and Dynamical Systems. 2006, vol. 26, n° 5, p. 1307--1337
Cambridge University Press (CUP)
English Abstract
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. ...Read more >
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.Read less <
Origin
Hal imported