有界类型的映射的旋转域
动力系统
2026-05-21 v1
摘要
我们提出了一种新方法，直接且几乎立即地从重整合算子稳定叶层的存在性来推导KAM类型线性化定理。我们在动力学中给出了几个示例，从单复变动力学到多复变动力学， starting with a version of the classical theorem of Arnol\&{}d and ending with a result on persistence of Herman rings in families of two-dimensional maps.
引用
@article{arxiv.2605.20376,
title = {Rotation domains for maps of bounded type},
author = {Nataliya Goncharuk and Michael Yampolsky},
journal= {arXiv preprint arXiv:2605.20376},
year = {2026}
}