Access the full text.
Sign up today, get DeepDyve free for 14 days.
Jacques F'ejoz, Mauricio Garay (2010)
Un théorème sur les actions de groupes de dimension infinieComptes Rendus Mathematique, 348
Jurgen Poschel (2009)
A lecture on the classical KAM theoremarXiv: Dynamical Systems
J. Hubbard, Y. Ilyashenko (2003)
A proof of Kolmogorov's theoremDiscrete and Continuous Dynamical Systems, 10
J. Pöschel (2001)
Smooth Ergodic Theory and Its Applications (Seattle, WA, 1999)
A. Kolmogorov (1979)
Preservation of conditionally periodic movements with small change in the Hamilton function, 93
J. Pöschel (2011)
KAM à la RRegul. Chaotic Dyn., 16
M. Sevryuk, M. Sevryuk (2003)
The Classical KAM Theory at the Dawn of the Twenty-First CenturyMoscow Mathematical Journal, 3
A. Kolmogorov (1954)
On conservation of conditionally periodic motions for a small change in Hamilton's functionProceedings of the USSR Academy of Sciences, 98
A.N. Kolmogorov (1979)
Stochastic Behavior in Classical and Quantum Hamiltonian Systems (Volta Memorial Conf., Como, 1977)
L. Chierchia (2008)
A.N.Kolmogorov’s 1954 Paper on Nearly-Integrable Hamiltonian Systems. A comment on: “On Conservation of Conditionally Periodic Motions for a Small Change in Hamilton’s Function”Regul. Chaotic Dyn., 13
H. Rüssmann (2010)
KAM iteration with nearly infinitely small steps in dynamical systems of polynomial characterDiscrete and Continuous Dynamical Systems - Series S, 3
(2011)
KAMà la R, Regul. Chaotic Dyn
A.N. Kolmogorov (1954)
On the Conservation of Conditionally Periodic Motions for a Small Change in Hamilton’s FunctionDokl. Akad. Nauk SSSR (N. S.), 98
M. B. Sevryuk (2003)
The Classical KAM Theory at the Dawn of the Twenty-First Century: Dedicated to V. I. Arnold on the Occasion of His 65th BirthdayMosc. Math. J., 3
A variant of Kolmogorov’s initial proof is given, in terms of a group of symplectic transformations and of an elementary fixed point theorem.
Regular and Chaotic Dynamics – Springer Journals
Published: Feb 5, 2012
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.