The full renormalization horseshoe for multimodal maps
Dynamical Systems
2021-02-25 v1
Abstract
In this paper, we consider the renormalization operator for multimodal maps. We prove the renormalization operator is a self-homeomorphism on any totally -invariant set. As a corollary, we prove the existence of the full renormalization horseshoe for multimodal maps.
Cite
@article{arxiv.2102.12268,
title = {The full renormalization horseshoe for multimodal maps},
author = {Yimin Wang},
journal= {arXiv preprint arXiv:2102.12268},
year = {2021}
}