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Kolmogorov–Arnold–Moser theorem
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== References == * Arnold, Weinstein, Vogtmann. ''Mathematical Methods of Classical Mechanics'', 2nd ed., Appendix 8: Theory of perturbations of conditionally periodic motion, and Kolmogorov's theorem. Springer 1997. * Sevryuk, M.B. ''Translation of the V. I. Arnold paper “From Superpositions to KAM Theory” (Vladimir Igorevich Arnold. Selected — 60, Moscow: PHASIS, 1997, pp. 727–740). Regul. Chaot. Dyn. 19, 734–744 (2014)''. https://doi.org/10.1134/S1560354714060100 * {{cite journal|last=Wayne|first=C. Eugene|title=An Introduction to KAM Theory|journal=Preprint|date=January 2008|pages=29|url=http://math.bu.edu/people/cew/preprints/introkam.pdf|access-date=20 June 2012}} * {{cite journal | author = Jürgen Pöschel | title = A lecture on the classical KAM-theorem | journal = Proceedings of Symposia in Pure Mathematics | volume = 69 | year = 2001 | pages = 707–732 | url = http://www.poschel.de/pbl/kam-1.pdf | doi = 10.1090/pspum/069/1858551 | citeseerx = 10.1.1.248.8987 | isbn = 9780821826829 | access-date = 2006-06-06 | archive-date = 2016-03-03 | archive-url = https://web.archive.org/web/20160303194559/http://www.poschel.de/pbl/kam-1.pdf | url-status = dead }} * Rafael de la Llave (2001) ''[http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=01-29 A tutorial on KAM theory]''. * {{mathworld |urlname=Kolmogorov-Arnold-MoserTheorem|title=Kolmogorov-Arnold-Moser Theorem}} * [http://www.math.rug.nl/~broer/pdf/kolmo100.pdf KAM theory: the legacy of Kolmogorov’s 1954 paper] * [http://www.scholarpedia.org/article/KAM_theory_in_celestial_mechanics Kolmogorov-Arnold-Moser theory] from [[Scholarpedia]] * H Scott Dumas. ''[http://www.worldscientific.com/worldscibooks/10.1142/8955 The KAM Story – A Friendly Introduction to the Content, History, and Significance of Classical Kolmogorov–Arnold–Moser Theory]'', 2014, World Scientific Publishing, {{ISBN|978-981-4556-58-3}}. ''[http://www.worldscientific.com/doi/suppl/10.1142/8955/suppl_file/8955_chap01.pdf Chapter 1: Introduction]'' {{DEFAULTSORT:Kolmogorov-Arnold-Moser theorem}} [[Category:Hamiltonian mechanics]] [[Category:Theorems in dynamical systems]] [[Category:Computer-assisted proofs]]
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