KAM-renormalization and Herman rings for 2D maps
Dynamical Systems
2021-06-10 v1
Abstract
In this note, we extend the renormalization horseshoe we have recently constructed with N. Goncharuk for analytic diffeomorphisms of the circle to their small two-dimensional perturbations. As one consequence, Herman rings with rotation numbers of bounded type survive on a codimension one set of parameters under small two-dimensional perturbations.
Keywords
Cite
@article{arxiv.2106.04991,
title = {KAM-renormalization and Herman rings for 2D maps},
author = {Michael Yampolsky},
journal= {arXiv preprint arXiv:2106.04991},
year = {2021}
}