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    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/86531


    Title: 關於KAM理論
    Authors: 黃詠翔
    Huang, Yong-Shiang
    Description: GH02100021606
    碩士
    數學系
    Date: 2014
    Keywords: KAM 理論;擾動理論;可積系統;阿諾德舌頭;小除數
    KAM Theory;Perturbation Theory;Integrable System;Arnold Tongue;Small Divisors
    Abstract: 我們將會透過兩個基本且重要的例子,有關圓上的微分同胚函數與可積漢米爾頓系統,闡明擾動理論中的KAM理論的中心想法如何運作。在過程中我們會見到小除數問題與可微性的損失這兩個問題是在何處產生與如何被克服的。
    We will study two basic and important examples about circle diffeomorphisms and Hamiltonian systems, to clarify the central ideas of the celebrated Kolmogorov-Arnold-Moser Theory in perturbation theory. Two difficulties those pioneers encounter in early 20th century - problems of the small divisor and loss of differentiability, will be revealed and overcame in our procedures also.
    URI: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/86531
    Source: http://thesis.nthu.edu.tw/cgi-bin/gs/hugsweb.cgi?o=dnthucdr&i=sGH02100021606.id
    Appears in Collections:[數學系] 博碩士論文

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