On the Hausdorff dimension of Newhouse phenomena
Dynamical Systems
2014-04-10 v1
Abstract
We show that at the vicinity of a generic dissipative homoclinic unfolding of a surface diffeomorphism, the Hausdorff dimension of the set of parameters for which the diffeomorphism admits infinitely many periodic sinks is at least 1/2.
Keywords
Cite
@article{arxiv.1404.2308,
title = {On the Hausdorff dimension of Newhouse phenomena},
author = {Pierre Berger and Jacopo De Simoi},
journal= {arXiv preprint arXiv:1404.2308},
year = {2014}
}