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- Kolmogorov–Arnold–Moser_theorem abstract "The Kolmogorov–Arnold–Moser theorem (KAM theorem) is a result in dynamical systems about the persistence of quasi-periodic motions under small perturbations. The theorem partly resolves the small-divisor problem that arises in the perturbation theory of classical mechanics.The problem is whether or not a small perturbation of a conservative dynamical system results in a lasting quasiperiodic orbit. The original breakthrough to this problem was given by Andrey Kolmogorov in 1954. This was rigorously proved and extended by Vladimir Arnold (in 1963 for analytic Hamiltonian systems) and Jürgen Moser (in 1962 for smooth twist maps), and the general result is known as the KAM theorem. The KAM theorem, as it was originally stated, could not be applied directly as a whole to the motions of the solar system. However, it is useful in generating corrections of astronomical models, and to prove long-term stability and the avoidance of orbital resonance in solar system. Arnold used the methods of KAM to prove the stability of elliptical orbits in the planar three-body problem.".
- Kolmogorov–Arnold–Moser_theorem wikiPageID "16972".
- Kolmogorov–Arnold–Moser_theorem wikiPageRevisionID "601713232".
- Kolmogorov–Arnold–Moser_theorem title "Kolmogorov-Arnold-Moser Theorem".
- Kolmogorov–Arnold–Moser_theorem urlname "Kolmogorov-Arnold-MoserTheorem".
- Kolmogorov–Arnold–Moser_theorem subject Category:Hamiltonian_mechanics.
- Kolmogorov–Arnold–Moser_theorem subject Category:Theorems_in_dynamical_systems.
- Kolmogorov–Arnold–Moser_theorem comment "The Kolmogorov–Arnold–Moser theorem (KAM theorem) is a result in dynamical systems about the persistence of quasi-periodic motions under small perturbations. The theorem partly resolves the small-divisor problem that arises in the perturbation theory of classical mechanics.The problem is whether or not a small perturbation of a conservative dynamical system results in a lasting quasiperiodic orbit. The original breakthrough to this problem was given by Andrey Kolmogorov in 1954.".
- Kolmogorov–Arnold–Moser_theorem label "Kolmogorov–Arnold–Moser theorem".
- Kolmogorov–Arnold–Moser_theorem label "Kolmogorow-Arnold-Moser-Theorem".
- Kolmogorov–Arnold–Moser_theorem label "Teorema de Kolmogorov–Arnold–Moser".
- Kolmogorov–Arnold–Moser_theorem label "Teorema de Kolmogórov-Arnold-Moser".
- Kolmogorov–Arnold–Moser_theorem label "Teorema di Kolmogorov-Arnold-Moser".
- Kolmogorov–Arnold–Moser_theorem label "Théorème KAM".
- Kolmogorov–Arnold–Moser_theorem label "Теория Колмогорова — Арнольда — Мозера".
- Kolmogorov–Arnold–Moser_theorem sameAs Kolmogorov%E2%80%93Arnold%E2%80%93Moser_theorem.
- Kolmogorov–Arnold–Moser_theorem sameAs Kolmogorow-Arnold-Moser-Theorem.
- Kolmogorov–Arnold–Moser_theorem sameAs Teorema_de_Kolmogórov-Arnold-Moser.
- Kolmogorov–Arnold–Moser_theorem sameAs Théorème_KAM.
- Kolmogorov–Arnold–Moser_theorem sameAs Teorema_di_Kolmogorov-Arnold-Moser.
- Kolmogorov–Arnold–Moser_theorem sameAs Teorema_de_Kolmogorov–Arnold–Moser.
- Kolmogorov–Arnold–Moser_theorem sameAs Q587081.
- Kolmogorov–Arnold–Moser_theorem sameAs Q587081.
- Kolmogorov–Arnold–Moser_theorem wasDerivedFrom Kolmogorov–Arnold–Moser_theorem?oldid=601713232.