Birth of homoclinic intersections: a model for the central dynamics of partially hyperbolic systems
Dynamical Systems
2010-01-26 v2
Abstract
We prove a conjecture of J. Palis: any diffeomorphism of a compact manifold can be C1-approximated by a Morse-Smale diffeomorphism or by a diffeomorphism having a transverse homoclinic intersection. ----- Cr'eation d'intersection homoclines : un mod`ele pour la dynamique centrale des syst`emes partiellement hyperboliques. Nous montrons une conjecture de J. Palis : tout diff'eomorphisme d'une vari'et'e compacte peut ^etre approch'e en topologie C1 par un diff'eomorphisme Morse-Smale ou par un diff'eomorphisme ayant une intersection homocline transverse.
Keywords
Cite
@article{arxiv.math/0605387,
title = {Birth of homoclinic intersections: a model for the central dynamics of partially hyperbolic systems},
author = {Sylvain Crovisier},
journal= {arXiv preprint arXiv:math/0605387},
year = {2010}
}