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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 quasiperiodic 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 because of the presence of degeneracy in the unperturbed Kepler problem. 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 wikiPageExternalLink kam-1.pdf.
- Kolmogorov–Arnold–Moser_theorem wikiPageExternalLink mpa?yn=01-29.
- Kolmogorov–Arnold–Moser_theorem wikiPageExternalLink kolmo100.pdf.
- Kolmogorov–Arnold–Moser_theorem wikiPageExternalLink KAM_theory_in_celestial_mechanics.
- Kolmogorov–Arnold–Moser_theorem wikiPageExternalLink 8955_chap01.pdf.
- Kolmogorov–Arnold–Moser_theorem wikiPageExternalLink 8955.
- Kolmogorov–Arnold–Moser_theorem wikiPageID "16972".
- Kolmogorov–Arnold–Moser_theorem wikiPageLength "5796".
- Kolmogorov–Arnold–Moser_theorem wikiPageOutDegree "38".
- Kolmogorov–Arnold–Moser_theorem wikiPageRevisionID "700396852".
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Action-angle_coordinates.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Andrey_Kolmogorov.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Arnold_diffusion.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Aubry-Mather_theory.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Cantor_set.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Category:Hamiltonian_mechanics.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Category:Theorems_in_dynamical_systems.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Conservative_force.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Doughnut.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Dynamical_system.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Elliptic_orbit.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Ergodic_theory.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Hamiltonian_system.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Ian_C._Percival.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Initial_condition.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Integrable_Hamiltonian_system.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Integrable_system.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Jürgen_Moser.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Mechanics.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Michael_Herman_(mathematician).
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Mikhail_B._Sevryuk.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Nekhoroshev_estimates.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Non-resonance_condition.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Nonlinear_perturbation.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Orbit_(dynamics).
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Orbital_resonance.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Perturbation_theory.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Phase_space.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Quasiperiodic_motion.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Quasiperiodicity.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Scholarpedia.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Small-divisor_problem.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Solar_System.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Three-body_problem.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Twist_map.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLink Vladimir_Arnold.
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLinkText "KAM theorem".
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLinkText "KAM theory".
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLinkText "KAM".
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLinkText "KAM-theory".
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLinkText "Kolmogorov--Arnold--Moser (KAM) tori".
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLinkText "Kolmogorov–Arnold–Moser (KAM) theorem".
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLinkText "Kolmogorov–Arnold–Moser (KAM)".
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLinkText "Kolmogorov–Arnold–Moser theorem".
- Kolmogorov–Arnold–Moser_theorem wikiPageWikiLinkText "Kolmogorov–Arnold–Moser_theorem".
- Kolmogorov–Arnold–Moser_theorem title "Kolmogorov-Arnold-Moser Theorem".
- Kolmogorov–Arnold–Moser_theorem urlname "Kolmogorov-Arnold-MoserTheorem".
- Kolmogorov–Arnold–Moser_theorem wikiPageUsesTemplate Template:Cite_journal.
- Kolmogorov–Arnold–Moser_theorem wikiPageUsesTemplate Template:Clarify.
- Kolmogorov–Arnold–Moser_theorem wikiPageUsesTemplate Template:Mathworld.
- Kolmogorov–Arnold–Moser_theorem wikiPageUsesTemplate Template:Reflist.
- Kolmogorov–Arnold–Moser_theorem wikiPageUsesTemplate Template:Which.
- Kolmogorov–Arnold–Moser_theorem wikiPageUsesTemplate Template:Why.
- Kolmogorov–Arnold–Moser_theorem subject Category:Hamiltonian_mechanics.
- Kolmogorov–Arnold–Moser_theorem subject Category:Theorems_in_dynamical_systems.
- Kolmogorov–Arnold–Moser_theorem hypernym Result.
- Kolmogorov–Arnold–Moser_theorem type Mechanic.
- Kolmogorov–Arnold–Moser_theorem type Physic.
- Kolmogorov–Arnold–Moser_theorem type Redirect.
- Kolmogorov–Arnold–Moser_theorem type Theorem.
- Kolmogorov–Arnold–Moser_theorem comment "The Kolmogorov–Arnold–Moser theorem (KAM theorem) is a result in dynamical systems about the persistence of quasiperiodic 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 sameAs Q587081.
- Kolmogorov–Arnold–Moser_theorem sameAs Teorema_de_Kolmogórov-Arnold-Moser.
- 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 콜모고로프-아르놀트-모저_정리.
- Kolmogorov–Arnold–Moser_theorem sameAs Teorema_de_Kolmogorov–Arnold–Moser.
- Kolmogorov–Arnold–Moser_theorem sameAs m.04b99.
- Kolmogorov–Arnold–Moser_theorem sameAs Теория_Колмогорова_—_Арнольда_—_Мозера.
- Kolmogorov–Arnold–Moser_theorem sameAs Теорема_КАМ.
- Kolmogorov–Arnold–Moser_theorem sameAs Q587081.
- Kolmogorov–Arnold–Moser_theorem wasDerivedFrom Kolmogorov–Arnold–Moser_theorem?oldid=700396852.
- Kolmogorov–Arnold–Moser_theorem isPrimaryTopicOf Kolmogorov–Arnold–Moser_theorem.