Эта публикация цитируется в 2 статьях

Special Issue: 70 Years of KAM Theory (Issue Editors: Alessandra Celletti, Luigi Chierchia, and Dmitry Treschev)

Persistence of Multiscale Degenerate Invariant Tori in Reversible Systems with Degenerate Frequency Mapping

Xiaomei Yang^a, Junxiang Xu<sup>b

a</sup> College of Science, Jinling Institute of Technology, 211169 Nanjing, China
^b School of Mathematics, Southeast University, 210096 Nanjing, China

Аннотация: This paper considers a class of nearly integrable reversible systems whose unperturbed part has a degenerate frequency mapping and a degenerate equilibrium point. Based on some KAM techniques and the topological degree theory, we prove the persistence of multiscale degenerate hyperbolic lower-dimensional invariant tori with prescribed frequencies.

Ключевые слова: reversible system, KAM iteration, degenerate equilibrium point, lower-dimensional invariant tori

MSC: 37J40, 37J25, 37J05

Поступила в редакцию: 26.07.2023
Принята в печать: 02.07.2024

Язык публикации: английский

DOI: 10.1134/S1560354724040051