Geometry of the Feigenbaum map
Dynamical Systems
2007-05-23 v2
Abstract
We show that the Feigenbaum-Cvitanovic equation can be interpreted as a linearizing equation, and the domain of analyticity of the Feigenbaum fixed point of renormalization as a basin of attraction. There is a natural decomposition of this basin which enables to recover a result of local connectivity by Jiang and Hu for the Feigenbaum Julia set.
Keywords
Cite
@article{arxiv.math/9711216,
title = {Geometry of the Feigenbaum map},
author = {Xavier Buff},
journal= {arXiv preprint arXiv:math/9711216},
year = {2007}
}
Comments
14 pages, 7 figures