A lecture on the classical KAM theorem

A lecture on the classical KAM theorem
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DOI:
10.1090/pspum/069/1858551
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发表时间:
2009-08
期刊:
arXiv: Dynamical Systems
影响因子:
--
通讯作者:
Jurgen Poschel
Jurgen Poschel
中科院分区:
其他
文献类型:
--
作者:
Jurgen Poschel

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本讲座的目的是描述KAM定理的最基本形式,并给出完整而详细的证明。这个证明基本上遵循了这个理论的发明者所提出的传统路线,重点更多地放在基本思想上,而不是论点的尖锐性上。
The purpose of this lecture is to describe the KAM theorem in its most basic form and to give a complete and detailed proof. This proof essentially follows the traditional lines laid out by the inventors of this theory, and the emphasis is more on the underlying ideas than on the sharpness of the arguments.