Following closely Kolmogorov’s original paper [1], we give a complete proof ofhis celebrated Theorem on perturbations of integrable Hamiltonian systems by including few“straightforward” estimates.

Chierchia, L. (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" [Dokl. Akad. Nauk SSSR (N.S.) 98 (1954), 527--530; MR0068687]. REGULAR & CHAOTIC DYNAMICS, 13, 130-139.

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" [Dokl. Akad. Nauk SSSR (N.S.) 98 (1954), 527--530; MR0068687]

CHIERCHIA, Luigi
2008-01-01

Abstract

Following closely Kolmogorov’s original paper [1], we give a complete proof ofhis celebrated Theorem on perturbations of integrable Hamiltonian systems by including few“straightforward” estimates.
2008
Chierchia, L. (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" [Dokl. Akad. Nauk SSSR (N.S.) 98 (1954), 527--530; MR0068687]. REGULAR & CHAOTIC DYNAMICS, 13, 130-139.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/270322
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