Non-uniformly hyperbolic horseshoes in the standard family
Dynamical Systems
2017-12-20 v1
Abstract
We show that the non-uniformly hyperbolic horseshoes of Palis and Yoccoz occur in the standard family of area-preserving diffeomorphisms of the two-torus for a set of (large) parameters of positive Lebesgue measure.
Keywords
Cite
@article{arxiv.1712.06656,
title = {Non-uniformly hyperbolic horseshoes in the standard family},
author = {Carlos Matheus and Carlos Gustavo Moreira and Jacob Palis},
journal= {arXiv preprint arXiv:1712.06656},
year = {2017}
}