Some open problems in the study of Hamiltonian dynamics

By briefly reviewing the study of Hamiltonian dynamics, including Arnold diffusion and KAM theory, we introduce some open problems in the field.

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Publication Details

Journal
Scientia Sinica Mathematica
Published
2024-12-03
DOI
https://doi.org/10.1360/ssm-2024-0193
Primary Topic
Quantum chaos and dynamical systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Some open problems in the study of Hamiltonian dynamics

Chong-Qing Cheng
Scientia Sinica Mathematica
Quantum chaos and dynamical systems
article

Some open problems in the study of Hamiltonian dynamics

Chong-Qing Cheng
article en

Abstract

By briefly reviewing the study of Hamiltonian dynamics, including Arnold diffusion and KAM theory, we introduce some open problems in the field.

Scientia Sinica MathematicaVol. 55(5)
Openalex Percentile: Top 79%
Quantum chaos and dynamical systems
DOIOpen Access PDFOpenAlex
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Some open problems in the study of Hamiltonian dynamics — Chong-Qing Cheng · Scientia Sinica Mathematica (2024) | TGRS Research Map | TGRS