arXiv Open Access 2021

KAM-renormalization and Herman rings for 2D maps

Michael Yampolsky

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.DS

Penulis (1)

Michael Yampolsky

Format Sitasi

APA MLA BibTeX

Yampolsky, M. (2021). KAM-renormalization and Herman rings for 2D maps. https://arxiv.org/abs/2106.04991

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓