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A proof of the invariant torus theorem of Kolmogorov

A proof of the invariant torus theorem of Kolmogorov A variant of Kolmogorov’s initial proof is given, in terms of a group of symplectic transformations and of an elementary fixed point theorem. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Regular and Chaotic Dynamics Springer Journals

A proof of the invariant torus theorem of Kolmogorov

Regular and Chaotic Dynamics , Volume 17 (1) – Feb 5, 2012

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References (14)

Publisher
Springer Journals
Copyright
Copyright © 2012 by Pleiades Publishing, Ltd.
Subject
Mathematics; Dynamical Systems and Ergodic Theory
ISSN
1560-3547
eISSN
1468-4845
DOI
10.1134/S1560354712010017
Publisher site
See Article on Publisher Site

Abstract

A variant of Kolmogorov’s initial proof is given, in terms of a group of symplectic transformations and of an elementary fixed point theorem.

Journal

Regular and Chaotic DynamicsSpringer Journals

Published: Feb 5, 2012

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