콜모고로프-아르놀트-모저 정리: 두 판 사이의 차이
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Osteologia (토론 | 기여) 편집 요약 없음 |
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== 역사 ==
[[안드레이 콜모고로프]]<ref>.N. Kolmogorov. On the Conservation of Conditionally Periodic Motions under Small Perturbation of the Hamiltonian. Dokl. Akad. Nauk SSR, 98:527–530, 1954</ref> · [[블라디미르 아르놀트]]<ref>Arnol'd, V. I. "Proof of a Theorem of A. N. Kolmogorov on the Preservation of Conditionally Periodic Motions under a Small Perturbation of the Hamiltonian." Uspehi Mat. Nauk 18, 13-40, 1963</ref> · [[위르겐 모저]]<ref>Moser, J. "On Invariant Curves of Area-Preserving Mappings of an Annulus." Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II, 1-20, 1962</ref> 가 증명하였다.
== 참고 문헌 ==
{{각주}}
* {{서적 인용 | first=Vladimir Igorevich|저자고리=블라디미르 아르놀트 | last=Arnold | title=Mathematical Methods of Classical Mechanics | publisher=Springer | year=1989 | isbn=0-387-96890-3 |
* {{저널 인용|doi= 10.1007/BF02834611|제목=Kolmogorov-Arnold-Moser theorem: Can planetary motion be stable?|이름= Govindan|성=Rangarajan|언어고리=en|날짜=1998-04|권=3|호=4|쪽=43–53|doi=
10.1007/BF02834611|issn=0971-8044 | url=http://repository.ias.ac.in/73303/ | 언어고리=en}}
45번째 줄:
| volume = 69 | year = 2001 | pages = 707–732
| 출판사=American Mathematical Society
| 장url = http://www.poschel.de/pbl/kam-1.pdf |
}}
* {{서적 인용|이름=Rafael|성=de la Llave|날짜=2001 |장url=http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=01-29 | 장=A tutorial on KAM theory|
51번째 줄:
| 총서 = Proceedings of Symposia in Pure Mathematics
| volume = 69 | year = 2001 | pages = 707–732
| 출판사=American Mathematical Society |
* {{저널 인용|doi=10.4249/scholarpedia.2123|저널=Scholarpedia|제목=Kolmogorov-Arnold-Moser Theory|권=5|호=9|쪽=2123|이름=Luigi|성=Cherchia|이름2=John N.|성2=Mather|issn=1941-6016|언어고리=en}}
* {{서적 인용|이름=H. Scott|성=Dumas|doi=10.1142/8955|제목=The KAM story: a friendly introduction to the content, history, and significance of classical Kolmogorov–Arnold–Moser Theory|날짜= 2014|출판사= World Scientific Publishing|isbn= 978-981-4556-58-3|
* {{서적 인용|last=Wayne|first=C. Eugene|장=An introduction to KAM theory|제목=Dynamical systems and probabilistic methods in partial differential equations|url=http://www.ams.org/bookstore-getitem/item=LAM-31|date=1996|pages=29|장url=http://math.bu.edu/people/cew/preprints/introkam.pdf|총서=Lectures in Applied Mathematics|권=31|출판사=American Mathematical Society|isbn=978-0-8218-0368-4|
* {{저널 인용|doi=10.1090/S0273-0979-04-01009-2 |제목=KAM theory: the legacy of Kolmogorov’s 1954 paper|이름=Henk W.|성=Broer|저널=Bulletin of the American Mathematical Society|issn=0273-0979|권=41|호=4|날짜=2004|쪽=507–521|언어고리=en}}
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