Date: 22 Jun 2005

Preservation of conditionally periodic movements with small change in the Hamilton function

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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).