On the hyperbolicity of the Feigenbaum fixed point
Dynamical Systems
2018-01-08 v1 Complex Variables
Abstract
We show the hyperbolicity of the Feigenbaum fixed point using the inflexibility of the Feigenbaum tower, the Man\~e-Sad-Sullivan -Lemma and the existence of parabolic domains (petals) for semi-attractive fixed points.
Keywords
Cite
@article{arxiv.math/0301118,
title = {On the hyperbolicity of the Feigenbaum fixed point},
author = {Daniel Smania},
journal= {arXiv preprint arXiv:math/0301118},
year = {2018}
}
Comments
11 pages, including the note "Infinitesimal contraction of the Feigenbaum renormalization operator in the horizontal direction", posted by the same author