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Regular and Chaotic Dynamics, 2024, Volume 29, Issue 4, Pages 605–619
DOI: https://doi.org/10.1134/S1560354724040051 (Mi rcd1272) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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 Yanga, Junxiang Xub

a College of Science, Jinling Institute of Technology, 211169 Nanjing, China
b School of Mathematics, Southeast University, 210096 Nanjing, China
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DOI: https://doi.org/10.1134/S1560354724040051
Abstract: 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.
Keywords: reversible system, KAM iteration, degenerate equilibrium point, lower-dimensional invariant tori
Funding agency Grant number
China Postdoctoral Science Foundation 2023M741636
Jiangsu Higher Education Institutions of China 23KJB110010
Jinling Institute Technology jit-b-202163
The work was supported by the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (23KJB110010), China Postdoctoral Science Foundation (2023M741636) and the PhD research startup foundation of Jinling Institute Technology (jit-b-202163).
Received: 26.07.2023
Accepted: 02.07.2024
Document Type: Article
MSC: 37J40, 37J25, 37J05
Language: English
Citation: Xiaomei Yang, Junxiang Xu, “Persistence of Multiscale Degenerate Invariant Tori in Reversible Systems with Degenerate Frequency Mapping”, Regul. Chaotic Dyn., 29:4 (2024), 605–619
Citation in format AMSBIB
\Bibitem{YanXu24}
\by Xiaomei Yang, Junxiang Xu
\paper Persistence of Multiscale Degenerate Invariant Tori in Reversible Systems with Degenerate Frequency Mapping
\jour Regul. Chaotic Dyn.
\yr 2024
\vol 29
\issue 4
\pages 605--619
\mathnet{http://mi.mathnet.ru/rcd1272}
\crossref{https://doi.org/10.1134/S1560354724040051}
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