• The KolmogorovArnoldMoser (KAM) theorem is a result in dynamical systems about the persistence of quasiperiodic motions under small perturbations. The...
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  • Thumbnail for Vladimir Arnold
    Soviet and Russian mathematician. He is best known for the KolmogorovArnoldMoser theorem regarding the stability of integrable systems, and contributed...
    48 KB (4,740 words) - 20:13, 6 September 2024
  • Thumbnail for Andrey Kolmogorov
    case) Kolmogorov dimension (upper box dimension) KolmogorovArnold theorem KolmogorovArnoldMoser theorem Kolmogorov continuity theorem Kolmogorov's criterion...
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  • manufacturer Moser (glass company), a Czech-based glass manufacturer Moser's Rides, an Italian amusement ride manufacturer KolmogorovArnoldMoser theorem, mathematical...
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  • Thumbnail for Equipartition theorem
    and rendering the law of equipartition valid. However, the KolmogorovArnoldMoser theorem states that energy will not be exchanged unless the nonlinear...
    90 KB (11,963 words) - 05:10, 19 June 2024
  • series) KolmogorovArnold representation theorem (real analysis, approximation theory) KolmogorovArnoldMoser theorem (dynamical systems) König's theorem (bipartite...
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  • Thumbnail for Chaos theory
    of chaos Determinism Edge of chaos Emergence Mandelbrot set KolmogorovArnoldMoser theorem Ill-conditioning Ill-posedness Nonlinear system Patterns in...
    123 KB (14,110 words) - 22:38, 18 August 2024
  • countries make the transition to a knowledge-based economy KolmogorovArnoldMoser theorem Komite-ye Amniyat-e Melli (National Security Committee), the...
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  • Julius Moser (1863–1929), German entomologist and coleopterologist Jürgen Moser (1928–1999), mathematician (Kolmogorov-Arnold-Moser theorem) J.J. Moser (born...
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  • well Weightlessness Lagrangian point N-body problem Kolmogorov-Arnold-Moser theorem Virial theorem Gravitational binding energy Speed of gravity Newtonian...
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  • coordinates Liouville's theorem Integrable system Symplectic manifold KolmogorovArnoldMoser theorem Poincaré recurrence theorem Lyapunov exponent Three-body...
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  • Sobolev embedding theorem. Moser found the sharp constant in Trudinger's inequality, with the corresponding result often known as the Moser–Trudinger inequality...
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  • Udwadia–Kalaba equation Celestial mechanics Orbit Lagrange point Kolmogorov-Arnold-Moser theorem N-body problem, many-body problem Ballistics Airy function...
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  • Kolmogorov–ArnoldMoser theorem KolmogorovArnold representation theorem Liouville–Arnold theorem The 10031 Vladarnolda, minor planet. The Arnold Mathematical...
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  • tensor form of the virial theorem 1954 - Andrey Kolmogorov publishes the first version of the KolmogorovArnoldMoser theorem. 1961 - Edward Norton Lorenz...
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  • Thumbnail for List of Russian mathematicians
    Anosov, developed Anosov diffeomorphism Vladimir Arnold, an author of the KolmogorovArnoldMoser theorem in dynamical systems, solved Hilbert's 13th problem...
    17 KB (1,662 words) - 04:41, 10 June 2024
  • Classical Kolmogorov-arnold-moser Theory. World Scientific Publishing Company. p. 67. ISBN 978-981-4556-60-6. Quasiperiodicity KolmogorovArnoldMoser theorem...
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  • Anosov, developed Anosov diffeomorphism Vladimir Arnold, an author of the KolmogorovArnoldMoser theorem in dynamical systems, solved Hilbert's 13th problem...
    94 KB (9,592 words) - 11:51, 17 August 2024
  • natural way to apply" the KolmogorovArnoldMoser theorem to the problem. The original work of Vladimir Arnold on this theorem attempted to use it to show...
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  • Thumbnail for List of Russian people
    Anosov, developed Anosov diffeomorphism Vladimir Arnold, an author of the KolmogorovArnoldMoser theorem in dynamical systems, solved Hilbert's 13th problem...
    204 KB (22,839 words) - 20:09, 1 September 2024
  • written by Nikolay Nekhoroshev in 1971. The theorem complements both the Kolmogorov-Arnold-Moser theorem and the phenomenon of instability for nearly...
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  • Thumbnail for Kicked rotator
    integrability to chaos in Hamiltonian systems and in particular the KolmogorovArnoldMoser theorem. In the limit K = 0 {\displaystyle K=0} , the system describes...
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  • anomaly Kohn effect Kohn–Sham equations Koide formula Kolmogorov–ArnoldMoser theorem Komar mass Kondo effect Konishi anomaly Konrad Beyerle Konrad Bleuler...
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  • Thumbnail for Carl Ludwig Siegel
    instead. His best-known student was Jürgen Moser, one of the founders of KAM theory (KolmogorovArnoldMoser), which lies at the foundations of chaos theory...
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  • Computer-assisted proof (category Automated theorem proving)
    solved using 200 terabytes of data in May 2016. Applications to the Kolmogorov-Arnold-Moser theory Kazhdan's property (T) for the automorphism group of a free...
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  • Thumbnail for Dynamical system
    complex plane, implying that the map is still hyperbolic. The KolmogorovArnoldMoser (KAM) theorem gives the behavior near an elliptic point. When the evolution...
    52 KB (7,067 words) - 22:55, 8 June 2024
  • Thumbnail for Raphael Douady
    by Robert J. Frey.[citation needed] Douady worked on the KolmogorovArnoldMoser (KAM) theorem on the existence of invariant tori in Hamiltonian systems...
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  • Thumbnail for Mathematical physics
    systems, as embodied within the most elementary formulation of Noether's theorem. These approaches and ideas have been extended to other areas of physics...
    51 KB (5,494 words) - 13:34, 22 August 2024
  • Thumbnail for Dynamical systems theory
    systems and control Dmitri Anosov Vladimir Arnold Nikolay Bogolyubov Andrey Kolmogorov Nikolay Krylov Jürgen Moser Yakov G. Sinai Stephen Smale Hillel Furstenberg...
    24 KB (2,921 words) - 02:46, 16 June 2024
  • 4249/scholarpedia.2111. Chierchia, Luigi; Mather, John N. (2010). "KolmogorovArnoldMoser Theory". Scholarpedia. 5 (9): 2123. Bibcode:2010SchpJ...5.2123C...
    66 KB (8,601 words) - 12:57, 23 August 2024