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

Jia Li; Xia Li; Chunpeng Zhu; Jia Li; Xia Li; Chunpeng Zhu

doi:10.3934/math.2023119

AIMS Mathematics

2023, Volume 8, Issue 1: 2296-2307. doi: 10.3934/math.2023119

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Research article

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

Jia Li ^{1
,
,},
Xia Li ²,
Chunpeng Zhu ¹

1.
School of Mathematics and Statistics, Xuzhou Institute of Technology, Xuzhou 221111, China
2.
Shandong Information Technology Industry Development Research Institute, Jinan 250014, China

Received: 07 June 2022 Revised: 01 October 2022 Accepted: 06 October 2022 Published: 31 October 2022
MSC : 37J40, 34C27

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.
- KAM,
- reducibility,
- Hamiltonian,
- almost periodic,
- degenerate
Citation: Jia Li, Xia Li, Chunpeng Zhu. Reducibility for a class of almost periodic Hamiltonian systems which are degenerate[J]. AIMS Mathematics, 2023, 8(1): 2296-2307. doi: 10.3934/math.2023119

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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.

References

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