吉林大学学报（理学版）2025，Vol.63Issue(2)：340-346,7.DOI:10.13413/j.cnki.jdxblxb.2024284
近可积Hamilton系统拟有效稳定性的推广
Generalisation of Quasi-effective Stability for Nearly Integrable Hamiltonian Systems
摘要
Abstract
We considered extending the quasi-effective stability for nearly integrable Hamiltonian systems.We gave the quasi-effective stability theorems for nearly integrable generalized Hamiltonian systems and Poisson systems under the KAM(Kolmogorov-Arnold-Moser)type non-degenerate condition.Unlike the general Hamiltonian systems,the action variables and angular variables of the generalized Hamiltonian systems and Poisson systems under discussion could generally have different dimensions.关键词
拟有效稳定性/近可积广义 Hamilton系统/Poisson系统/KAM型非退化条件Key words
quasi-effective stability/nearly integrable generalized Hamiltonian system/Poisson system/KAM type non-degenerate condition分类
数学引用本文复制引用
李宏田,左平,张博森..近可积Hamilton系统拟有效稳定性的推广[J].吉林大学学报（理学版）,2025,63(2):340-346,7.基金项目
辽宁省自然科学基金(批准号:20180550271)和三亚学院人才引进项目(批准号:USYRC23-17). （批准号:20180550271）
