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

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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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 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。
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