辛环面上的拟周期运动

IF 0.4 Q4 MATHEMATICS Journal of Singularities Pub Date : 2018-05-23 DOI:10.5427/jsing.2023.26c

M. Garay, A. Kessi, D. Straten, N. Yousfi

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引用次数: 0

摘要

Kolmogorov、Arnold和Moser关于哈密顿系统中跨拉格朗日环面拟周期运动稳定性的研究结果具有重要的基础意义，并导致了KAM理论的发展。多年来，这些结果在准周期运动上的许多变化已经被考虑。在本文中，我们通过考虑辛环面上的拟周期运动的特殊情况，提出了一种更概念化的方法来解决这类问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quasi-periodic motions on symplectic tori

The results of Kolmogorov, Arnold, and Moser on the stability of quasi-periodic motions spanning lagrangian tori in Hamiltonian systems are of fundamental importance and led to the development of KAM theory. Over the years, many variations of these results on quasi-periodic motions have been considered. In this paper, we present a more conceptual way of attacking such problems by considering the particular case of quasi-periodic motions on symplectic tori.

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