Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian

Vladimir I. Arnold

Book Chapter

Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian

Arnold V

Springer Berlin Heidelberg, (2009), 267-294

DOI: 10.1007/978-3-642-01742-1_21

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Abstract

One of the most remarkable of A.N. Kolmogorov's mathematical achievements is his work on classical mechanics of 1954. A simple and novel idea, the combination of very classical and essentially modern methods, the solution of a 200 year-old problem, a clear...

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Arnold, V. I. (2009). Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian. In Collected Works (pp. 267–294). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-01742-1_21

Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian

Abstract

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