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Research Article | Open Access

Reducibility for a class of almost periodic Hamiltonian systems which are degenerate

Jia Li1( ), Xia Li2, Chunpeng Zhu1
School of Mathematics and Statistics, Xuzhou Institute of Technology, Xuzhou 221111, China
Shandong Information Technology Industry Development Research Institute, Jinan 250014, China
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Abstract

This paper studies the reducibility for a class of Hamiltonian almost periodic systems that are degenerate in a small perturbation parameter. We prove for most of the sufficiently small parameter, the Hamiltonian system is reducible by a symplectic almost periodic mapping.

Keywords

KAMreducibilityHamiltonianalmost periodicdegenerate
CLC number: 37J40, 34C27

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AIMS Mathematics
Volume 8 Issue 1,
January 2023
Pages 2296-2307
DOI: 10.3934/math.2023119

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Cite this article:
Li J, Li X, Zhu C. Reducibility for a class of almost periodic Hamiltonian systems which are degenerate. AIMS Mathematics, 2023, 8(1): 2296-2307. https://doi.org/10.3934/math.2023119

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Received: 07 June 2022
Revised: 01 October 2022
Accepted: 06 October 2022
Published: 15 January 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)