Abstract
This paper is a translation of Kolmogorov's original article announcing the theorem now known as the KAM theorem.
Los Alamos Scientific Laboratory translation LA-TR-71-67 by Helen Dahlby of Akad. Nauk. S.S.S.R., Doklady 98, 527 (1954).
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References
L. V. Kantorovich. Uspekhimatem. Nauk 3, 163 (1948).
J. F. Koksma. Diophantische Approximationen, Chelsea 1936. 157p.
A. N. Kolmogorov. Doklady Akad. Nauk 93, 763 (1953).
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© 1979 Springer-Verlag
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Kolmogorov, A.A.N. (1979). Preservation of conditionally periodic movements with small change in the Hamilton function. In: Casati, G., Ford, J. (eds) Stochastic Behavior in Classical and Quantum Hamiltonian Systems. Lecture Notes in Physics, vol 93. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0021737
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DOI: https://doi.org/10.1007/BFb0021737
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