Reducibility of Three Dimensional Skew Symmetric System with High Dimensional Weak Liouvillean Frequencies  

作　　者：Jie LIU Yuan SHAN Jing WANG 

机构地区：[1]School of Mathematics and Statistics,Nanjing University of Science and Technology,Nanjing 210094,P.R.China [2]School of Statistics and Data Science,Nanjing Audit University,Nanjing 210029,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第10期2388-2410,共23页数学学报（英文版）

基　　金：partially supported by National Key R&D Program of China(Grant No.2021YFA1001600);NSFC grant(Grant No.11971233);the Outstanding Youth Foundation of Jiangsu Province(Grant No.BK20200074);Qing Lan Project of Jiangsu Province。

摘　　要：In this paper,we consider the reducibility of three-dimensional skew symmetric systems.We obtain a reducibility result if the base frequency is high-dimensional weak Liouvillean and the parameter is sufficiently small.The proof is based on a modified KAM theory for 3-dimensional skew symmetric systems.

关 键 词：KAM theory three dimensional skew-symmetric system high-dimensional weak Liouvillean 

分 类 号：O175[理学—数学]