[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/1332#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/1332","headline":"Collection-Arnold-Moser-Theorem  –  Wikipedia","name":"Collection-Arnold-Moser-Theorem  –  Wikipedia","description":"Kolmogorow-Arnold-Moser-Theorem \uff08\u77ed\u3044 ” Kam-Theor \u300c\uff09\u306f\u3001\u5c0f\u3055\u306a\u969c\u5bb3\u4e0b\u3067\u306e\u305d\u306e\u3088\u3046\u306a\u30b7\u30b9\u30c6\u30e0\u306e\u52d5\u4f5c\u306b\u3064\u3044\u3066\u58f0\u660e\u3092\u767a\u8868\u3059\u308b\u52d5\u7684\u30b7\u30b9\u30c6\u30e0\u306e\u7406\u8ad6\u306e\u7d50\u679c\u3067\u3059\u3002\u5b9a\u7406\u306f\u3001\u30c0\u30a4\u30ca\u30df\u30c3\u30af\u30b7\u30b9\u30c6\u30e0\u306e\u6df7\u4e71\u3001\u7279\u306b\u5929\u56fd\u306e\u529b\u5b66\u306b\u73fe\u308c\u308b\u5c0f\u3055\u306a\u9664\u6570\u306e\u554f\u984c\u3092\u90e8\u5206\u7684\u306b\u89e3\u6c7a\u3057\u307e\u3059\u3002 Kamtheorem\u306f\u3001\u4fdd\u5b88\u7684\u306a\u52d5\u7684\u30b7\u30b9\u30c6\u30e0\u306e\u308f\u305a\u304b\u306a\u59a8\u5bb3\u304c\u6e96\u5468\u671f\u904b\u52d5\u306b\u3064\u306a\u304c\u308b\u304b\u3069\u3046\u304b\u306e\u554f\u984c\u304b\u3089\u751f\u3058\u307e\u3057\u305f\u3002 1954\u5e74\u3001\u30a2\u30f3\u30c9\u30ec\u30a4\u30fb\u30b3\u30eb\u30e2\u30b4\u30ed\u30a6\u306f\u30011954\u5e74\u306e\u30a2\u30e0\u30b9\u30c6\u30eb\u30c0\u30e0\u306e\u56fd\u969b\u6570\u5b66\u8b70\u4f1a\u3067\u306e\u5168\u4f53\u7684\u306a\u8b1b\u7fa9\uff08\u52d5\u7684\u30b7\u30b9\u30c6\u30e0\u3068\u53e4\u5178\u529b\u5b66\u306e\u4e00\u822c\u7406\u8ad6\uff09\u3067\u7a81\u7834\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002 [\u521d\u3081] [2] \u305d\u306e\u7d50\u679c\u30011962\u5e74\u306bJ\u00fcrgenMoserfor So -Called \u6ed1\u3089\u304b\u306a\u30c4\u30a4\u30b9\u30c8\u30de\u30c3\u30d7 [3] 1963\u5e74\u3001\u30cf\u30df\u30eb\u30c8\u30f3\u306e\u30b7\u30b9\u30c6\u30e0\u306b\u3064\u3044\u3066\u306f\u30a6\u30e9\u30b8\u30df\u30fc\u30eb\u30a2\u30fc\u30ce\u30eb\u30c9\u306b\u3088\u308b\u3002 [4] [5] KAM\u7406\u8ad6\u306e\u4e3b\u306a\u7d50\u679c\u306f\u3001\u7279\u5b9a\u306e\u30af\u30e9\u30b9\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6e96\u5468\u671f\u6eb6\u6db2\u306e\u5b58\u5728\u3092\u4fdd\u8a3c\u3057\u307e\u3059\u3002\u3044\u308f\u3086\u308bN\u30dc\u30c7\u30a3\u554f\u984c\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f\u3001\u3053\u308c\u306e\u91cd\u8981\u306a\u30b5\u30d6\u30af\u30e9\u30b9\u3067\u3059\u3002\u6e96\u5468\u56f2\u306e\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u306f\u660e\u3089\u304b\u3067\u3059\u304c\u3001\u305d\u308c\u3089\u306e\u9593\u3067\u4e0d\u5b89\u5b9a\u306b\u306a\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u305f\u3081\u3001\u5b9f\u969b\u306b\u306f\u3001\u6e2c\u5b9a\u306e\u7cbe\u5ea6\u304c\u6709\u9650\u3067\u3042\u308b\u305f\u3081\u3001\u5b89\u5b9a\u3057\u305f\u30d1\u30b9\u307e\u305f\u306f\u4e0d\u5b89\u5b9a\u306a\u30d1\u30b9\u306b\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u60d1\u661f\u7cfb\u306e\u5834\u5408\u3001\u4e0d\u5b89\u5b9a\u306a\u30ec\u30fc\u30f3\u306f\u5b89\u5b9a\u6027\u3088\u308a\u3082\u306f\u308b\u304b\u306b\u4e00\u822c\u7684\u3067\u306f\u306a\u3044\u3053\u3068\u304c\u793a\u3055\u308c\u307e\u3059\u3002 \u90aa\u9b54\u3055\u308c\u3066\u3044\u306a\u3044\u30b7\u30b9\u30c6\u30e0\u304c\u5206\u89e3\u3055\u308c\u306a\u3044\u5834\u5408\u3001\u975e\u5171\u9cf4\u30c8\u30ea\u306e\u307b\u3068\u3093\u3069\u306f\u3001\u5341\u5206\u306a\u5c0f\u3055\u306a\u81ea\u5f8b\u30cf\u30de\u30e0\u969c\u5bb3\u306b\u5bfe\u3057\u3066\u308f\u305a\u304b\u306b\u5909\u5f62\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u5bc6\u306b\u304b\u3064\u6e96\u5468\u6ce2\u6570\u304c\u5bc6\u96c6\u3057\u3066\u304a\u308a\u3001\u983b\u5ea6\u304c\u72ec\u7acb\u3057\u3066\u3044\u308b\u4e71\u308c\u305f\u30b7\u30b9\u30c6\u30e0\u306e\u4f4d\u76f8\u7a7a\u9593\u306b\u3082\u5b58\u5728\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u4e0d\u5909\u306e\u30c8\u30ea\u306f\u3001\u969c\u5bb3\u304c\u5f31\u3044\u3068\u304d\u306b\u3042\u306a\u305f\u306e\u95a2\u9023\u306e\u88dc\u5b8c\u306e\u5c3a\u5ea6\u304c\u5c0f\u3055\u3044\u3068\u3044\u3046\u610f\u5473\u3067\u5927\u591a\u6570\u3092\u5f62\u6210\u3057\u307e\u3059\u3002 J\u00fcrgenP\u00f6schel\uff1a","datePublished":"2019-07-29","dateModified":"2019-07-29","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/de.wikipedia.org\/wiki\/Special:CentralAutoLogin\/start?type=1x1","url":"https:\/\/de.wikipedia.org\/wiki\/Special:CentralAutoLogin\/start?type=1x1","height":"1","width":"1"},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/1332","wordCount":438,"articleBody":" Kolmogorow-Arnold-Moser-Theorem \uff08\u77ed\u3044 ” Kam-Theor \u300c\uff09\u306f\u3001\u5c0f\u3055\u306a\u969c\u5bb3\u4e0b\u3067\u306e\u305d\u306e\u3088\u3046\u306a\u30b7\u30b9\u30c6\u30e0\u306e\u52d5\u4f5c\u306b\u3064\u3044\u3066\u58f0\u660e\u3092\u767a\u8868\u3059\u308b\u52d5\u7684\u30b7\u30b9\u30c6\u30e0\u306e\u7406\u8ad6\u306e\u7d50\u679c\u3067\u3059\u3002\u5b9a\u7406\u306f\u3001\u30c0\u30a4\u30ca\u30df\u30c3\u30af\u30b7\u30b9\u30c6\u30e0\u306e\u6df7\u4e71\u3001\u7279\u306b\u5929\u56fd\u306e\u529b\u5b66\u306b\u73fe\u308c\u308b\u5c0f\u3055\u306a\u9664\u6570\u306e\u554f\u984c\u3092\u90e8\u5206\u7684\u306b\u89e3\u6c7a\u3057\u307e\u3059\u3002 Kamtheorem\u306f\u3001\u4fdd\u5b88\u7684\u306a\u52d5\u7684\u30b7\u30b9\u30c6\u30e0\u306e\u308f\u305a\u304b\u306a\u59a8\u5bb3\u304c\u6e96\u5468\u671f\u904b\u52d5\u306b\u3064\u306a\u304c\u308b\u304b\u3069\u3046\u304b\u306e\u554f\u984c\u304b\u3089\u751f\u3058\u307e\u3057\u305f\u3002 1954\u5e74\u3001\u30a2\u30f3\u30c9\u30ec\u30a4\u30fb\u30b3\u30eb\u30e2\u30b4\u30ed\u30a6\u306f\u30011954\u5e74\u306e\u30a2\u30e0\u30b9\u30c6\u30eb\u30c0\u30e0\u306e\u56fd\u969b\u6570\u5b66\u8b70\u4f1a\u3067\u306e\u5168\u4f53\u7684\u306a\u8b1b\u7fa9\uff08\u52d5\u7684\u30b7\u30b9\u30c6\u30e0\u3068\u53e4\u5178\u529b\u5b66\u306e\u4e00\u822c\u7406\u8ad6\uff09\u3067\u7a81\u7834\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002 [\u521d\u3081] [2] \u305d\u306e\u7d50\u679c\u30011962\u5e74\u306bJ\u00fcrgenMoserfor So -Called \u6ed1\u3089\u304b\u306a\u30c4\u30a4\u30b9\u30c8\u30de\u30c3\u30d7 [3] 1963\u5e74\u3001\u30cf\u30df\u30eb\u30c8\u30f3\u306e\u30b7\u30b9\u30c6\u30e0\u306b\u3064\u3044\u3066\u306f\u30a6\u30e9\u30b8\u30df\u30fc\u30eb\u30a2\u30fc\u30ce\u30eb\u30c9\u306b\u3088\u308b\u3002 [4] [5] KAM\u7406\u8ad6\u306e\u4e3b\u306a\u7d50\u679c\u306f\u3001\u7279\u5b9a\u306e\u30af\u30e9\u30b9\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6e96\u5468\u671f\u6eb6\u6db2\u306e\u5b58\u5728\u3092\u4fdd\u8a3c\u3057\u307e\u3059\u3002\u3044\u308f\u3086\u308bN\u30dc\u30c7\u30a3\u554f\u984c\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f\u3001\u3053\u308c\u306e\u91cd\u8981\u306a\u30b5\u30d6\u30af\u30e9\u30b9\u3067\u3059\u3002\u6e96\u5468\u56f2\u306e\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u306f\u660e\u3089\u304b\u3067\u3059\u304c\u3001\u305d\u308c\u3089\u306e\u9593\u3067\u4e0d\u5b89\u5b9a\u306b\u306a\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u305f\u3081\u3001\u5b9f\u969b\u306b\u306f\u3001\u6e2c\u5b9a\u306e\u7cbe\u5ea6\u304c\u6709\u9650\u3067\u3042\u308b\u305f\u3081\u3001\u5b89\u5b9a\u3057\u305f\u30d1\u30b9\u307e\u305f\u306f\u4e0d\u5b89\u5b9a\u306a\u30d1\u30b9\u306b\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u60d1\u661f\u7cfb\u306e\u5834\u5408\u3001\u4e0d\u5b89\u5b9a\u306a\u30ec\u30fc\u30f3\u306f\u5b89\u5b9a\u6027\u3088\u308a\u3082\u306f\u308b\u304b\u306b\u4e00\u822c\u7684\u3067\u306f\u306a\u3044\u3053\u3068\u304c\u793a\u3055\u308c\u307e\u3059\u3002 \u90aa\u9b54\u3055\u308c\u3066\u3044\u306a\u3044\u30b7\u30b9\u30c6\u30e0\u304c\u5206\u89e3\u3055\u308c\u306a\u3044\u5834\u5408\u3001\u975e\u5171\u9cf4\u30c8\u30ea\u306e\u307b\u3068\u3093\u3069\u306f\u3001\u5341\u5206\u306a\u5c0f\u3055\u306a\u81ea\u5f8b\u30cf\u30de\u30e0\u969c\u5bb3\u306b\u5bfe\u3057\u3066\u308f\u305a\u304b\u306b\u5909\u5f62\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u5bc6\u306b\u304b\u3064\u6e96\u5468\u6ce2\u6570\u304c\u5bc6\u96c6\u3057\u3066\u304a\u308a\u3001\u983b\u5ea6\u304c\u72ec\u7acb\u3057\u3066\u3044\u308b\u4e71\u308c\u305f\u30b7\u30b9\u30c6\u30e0\u306e\u4f4d\u76f8\u7a7a\u9593\u306b\u3082\u5b58\u5728\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u4e0d\u5909\u306e\u30c8\u30ea\u306f\u3001\u969c\u5bb3\u304c\u5f31\u3044\u3068\u304d\u306b\u3042\u306a\u305f\u306e\u95a2\u9023\u306e\u88dc\u5b8c\u306e\u5c3a\u5ea6\u304c\u5c0f\u3055\u3044\u3068\u3044\u3046\u610f\u5473\u3067\u5927\u591a\u6570\u3092\u5f62\u6210\u3057\u307e\u3059\u3002 J\u00fcrgenP\u00f6schel\uff1a \u53e4\u5178\u7684\u306a\u30ab\u30e0\u7406\u8ad6\u306b\u95a2\u3059\u308b\u8b1b\u7fa9 \u3002\u306e\uff1a \u7d14\u7c8b\u306a\u6570\u5b66\uff08AMS\uff09\u306b\u304a\u3051\u308b\u30b7\u30f3\u30dd\u30b8\u30a6\u30e0\u306e\u8b70\u4e8b\u9332 \u3002 \u30d0\u30f3\u30c9  69 \u30012001\u5e74\u3001 S.  707\u2013732 \u3001arxiv\uff1a 0908.2234 \u3002  \u30e9\u30d5\u30a1\u30a8\u30eb\u30fb\u30c7\u30fb\u30e9\u30fb\u30ad\u30fc\uff1a KAM\u7406\u8ad6\u306b\u95a2\u3059\u308b\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb \u3002 2001\u3001 \u30aa\u30f3\u30e9\u30a4\u30f3\u30b3\u30d4\u30fc \u3002 Hendrik Broer\uff1a Kam-Theory  –  The Legacy of Kolmogorovs 1954 Paper \u3002 \u901f\u5831\u7cfb\u30a2\u30e1\u30ea\u30ab\u4eba\u6570\u5b66\u5354\u4f1a\u30012004\u5e74 H.\u30b9\u30b3\u30c3\u30c8\u30c7\u30e5\u30de\uff1a\u30ab\u30e0\u30b9\u30c8\u30fc\u30ea\u30fc\u3002 Kolmogorov-Arnold-Moser Theory\u306e\u30b3\u30f3\u30c6\u30f3\u30c4\u3001\u91cd\u8981\u6027\u3001\u6b74\u53f2\u306e\u53cb\u597d\u7684\u306a\u7d39\u4ecb\u3001World Scientific 2014 Alessandra Celletti\u3001Luigi Chierchia\uff1aKam\u306e\u5b89\u5b9a\u6027\u3068Celestial Mechanics\u3001Memoirs AMS 2007 Luigi Chierchia\u3001John Mather\uff1aKolmogorov-Arnold-Moser Theory \u3001Scholarpedia \u2191  Proc\u3002 int\u3002 CongressMath\u3002Amsterdam1954\u3001North Holland 1957\u3001Volume 1\u3001pp\u3002315\u2013333\uff08\u30ed\u30b7\u30a2\u8a9e\uff09\u3001Ralph Abraham\u3001Jerrold E. Marsden\u3001Mechanics\u306eFoundations\u3001Benjamin-Cummings 1978\uff08\u7b2c2\u7248\uff09\u3001\u4ed8\u9332  \u2191  \u30b3\u30eb\u30e2\u30b4\u30ed\u30a6\u306f\u3001\u30cf\u30df\u30eb\u30c8\u30f3\u306e\u6a5f\u80fd\uff08\u30ed\u30b7\u30a2\uff09\u306e\u5c0f\u3055\u306a\u5909\u5316\u306b\u5bfe\u3059\u308b\u6761\u4ef6\u4ed8\u304d\u306e\u5b9a\u671f\u7684\u306a\u52d5\u304d\u306e\u4fdd\u5b58\u306b\u3064\u3044\u3066\u3082\u767a\u8868\u3057\u307e\u3057\u305f\u3002 Akad\u3002NaukaSSSR\u3001Volume 98\u30011954\u3001pp\u3002525\u2013530\u3001\u82f1\u8a9e\u7ffb\u8a33\u8b1b\u7fa9\u30ce\u30fc\u30c8Physics 93\u30011975\u3001pp\u300251\u201356  \u2191  \u30e2\u30fc\u30b6\u30fc\u3001\u8f2a\u306e\u5730\u56f3\u3092\u4fdd\u5b58\u3059\u308b\u5730\u57df\u306e\u4e0d\u5909\u66f2\u7dda\u3001\u30ca\u30c1\u30ea\u30d2\u30c6\u30f3\u30fb\u30b2\u30c3\u30c8\u3002 Akad\u3002Wiss\u3002\u30011962\u3001pp\u30021\u201320  \u2191  \u30a2\u30fc\u30ce\u30eb\u30c9\u3001A.N\u3002\u306b\u3088\u308b\u5b9a\u7406\u306e\u8a3c\u62e0\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3USP\u306e\u5c0f\u3055\u306a\u6442\u52d5\u306e\u4e0b\u3067\u306e\u6e96\u5468\u671f\u904b\u52d5\u306e\u4e0d\u5909\u6027\u306b\u95a2\u3059\u308b\u30b3\u30eb\u30e2\u30b4\u30ed\u30d5\u3002\u7b97\u6570\u3002\u30ca\u30a6\u30ab\u3001\u30d0\u30f3\u30c918\u30011963\u3001S\u300213\u201340 Bzw. Englisch Russian Mathematical Surveys\u3001Band 18\u30011963\u3001S\u30029\u201336  \u2191  \u30a2\u30fc\u30ce\u30eb\u30c9\u3001\u5c0f\u3055\u306a\u5206\u6bcd\u3068\u53e4\u5178\u7684\u304a\u3088\u3073\u5929\u4f53\u529b\u5b66\u306b\u304a\u3051\u308b\u904b\u52d5\u306e\u5b89\u5b9a\u6027\u306e\u554f\u984c\u3001\u30ed\u30b7\u30a2\u306e\u6570\u5b66\u3002 Surveys\u3001Band 18\u30011963\u3001S\u300285\u2013191\u3001Russisch Uspekhi Mat\u306eKorrekturen\u3002 Nauk\u3002\u3001\u30d0\u30f3\u30c923\u30011968\u3001S\u3002216   "},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/1332#breadcrumbitem","name":"Collection-Arnold-Moser-Theorem  –  Wikipedia"}}]}]