Strongly dissipative surface diffeomorphisms
Dynamical Systems
2017-11-17 v2
Abstract
We introduce a class of volume-contracting surface diffeomorphisms whose dynamics is intermediate between one-dimensional dynamics and general surface dynamics. For that type of systems one can associate to the dynamics a reduced one-dimensional model and it is proved a type of closing lemma on the support of every ergodic measure. We also show that this class contains H\'enon maps with Jacobian in .
Cite
@article{arxiv.1608.05999,
title = {Strongly dissipative surface diffeomorphisms},
author = {Sylvain Crovisier and Enrique Pujals},
journal= {arXiv preprint arXiv:1608.05999},
year = {2017}
}