• The KolmogorovArnoldMoser (KAM) theorem is a result in dynamical systems about the persistence of quasiperiodic motions under small perturbations. The...
    10 KB (1,243 words) - 22:56, 27 September 2024
  • Thumbnail for Vladimir Arnold
    Soviet and Russian mathematician. He is best known for the KolmogorovArnoldMoser theorem regarding the stability of integrable systems, and contributed...
    52 KB (5,054 words) - 05:28, 11 March 2025
  • Thumbnail for Andrey Kolmogorov
    case) Kolmogorov dimension (upper box dimension) KolmogorovArnold theorem KolmogorovArnoldMoser theorem Kolmogorov continuity theorem Kolmogorov's criterion...
    31 KB (2,791 words) - 14:25, 26 March 2025
  • Julius Moser (1863–1929), German entomologist and coleopterologist Jürgen Moser (1928–1999), mathematician (Kolmogorov-Arnold-Moser theorem) J.J. Moser (born...
    5 KB (503 words) - 18:20, 16 March 2025
  • manufacturer Moser (glass company), a Czech-based glass manufacturer Moser's Rides, an Italian amusement ride manufacturer KolmogorovArnoldMoser theorem, mathematical...
    1 KB (214 words) - 05:40, 14 October 2023
  • theorem (dynamical systems) KolmogorovArnoldMoser theorem (dynamical systems) Krylov–Bogolyubov theorem (dynamical systems) Maximal ergodic theorem...
    78 KB (6,293 words) - 12:16, 2 May 2025
  • 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...
    91 KB (11,997 words) - 12:08, 7 May 2025
  • Thumbnail for Chaos theory
    of chaos Determinism Edge of chaos Emergence Mandelbrot set KolmogorovArnoldMoser theorem Ill-conditioning Ill-posedness Nonlinear system Patterns in...
    115 KB (13,052 words) - 03:20, 7 May 2025
  • Sobolev embedding theorem. Moser found the sharp constant in Trudinger's inequality, with the corresponding result often known as the Moser–Trudinger inequality...
    24 KB (2,427 words) - 07:25, 24 January 2025
  • 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...
    18 KB (1,744 words) - 06:21, 5 May 2025
  • same problem was worked by Jürgen Moser and later by Vladimir Arnold, leading to the KolmogorovArnoldMoser theorem and KAM theory. Meteorologist Edward...
    23 KB (2,844 words) - 10:50, 4 April 2025
  • Udwadia–Kalaba equation Celestial mechanics Orbit Lagrange point Kolmogorov-Arnold-Moser theorem N-body problem, many-body problem Ballistics Airy function...
    5 KB (413 words) - 21:49, 5 November 2024
  • Thumbnail for Hamiltonian system
    coordinates Liouville's theorem Integrable system Symplectic manifold KolmogorovArnoldMoser theorem Poincaré recurrence theorem Lyapunov exponent Three-body...
    11 KB (1,369 words) - 04:45, 5 February 2025
  • well Weightlessness Lagrangian point N-body problem Kolmogorov-Arnold-Moser theorem Virial theorem Gravitational binding energy Speed of gravity Newtonian...
    2 KB (187 words) - 18:09, 16 March 2022
  • Anosov, developed Anosov diffeomorphism Vladimir Arnold, an author of the KolmogorovArnoldMoser theorem in dynamical systems, solved Hilbert's 13th problem...
    95 KB (9,622 words) - 21:08, 30 April 2025
  • countries make the transition to a knowledge-based economy KolmogorovArnoldMoser theorem Komite-ye Amniyat-e Melli (National Security Committee), the...
    2 KB (294 words) - 02:23, 4 January 2025
  • tensor form of the virial theorem 1954 – Andrey Kolmogorov publishes the first version of the KolmogorovArnoldMoser theorem. 1961 – Edward Norton Lorenz...
    17 KB (2,046 words) - 19:07, 3 April 2025
  • Kolmogorov–ArnoldMoser theorem KolmogorovArnold representation theorem Liouville–Arnold theorem The 10031 Vladarnolda, minor planet. The Arnold Mathematical...
    1 KB (119 words) - 13:55, 8 October 2023
  • 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...
    23 KB (3,818 words) - 13:01, 29 April 2025
  • Classical Kolmogorov-arnold-moser Theory. World Scientific Publishing Company. p. 67. ISBN 978-981-4556-60-6. Quasiperiodicity KolmogorovArnoldMoser theorem...
    11 KB (1,528 words) - 17:19, 26 November 2024
  • written by Nikolay Nekhoroshev in 1971. The theorem complements both the Kolmogorov-Arnold-Moser theorem and the phenomenon of instability for nearly...
    2 KB (308 words) - 13:21, 29 December 2023
  • 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...
    4 KB (312 words) - 12:16, 17 May 2024
  • 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 (22,856 words) - 10:24, 1 May 2025
  • Jean-Christophe Yoccoz, 1994 Fields Medalist. Almost Mathieu operator KolmogorovArnoldMoser theorem Herman, Michael-Robert (1978). "Résultats récents sur la conjugaison...
    4 KB (286 words) - 15:40, 29 December 2024
  • 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...
    18 KB (2,071 words) - 14:49, 3 December 2024
  • 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 (7,094 words) - 19:05, 23 February 2025
  • 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...
    15 KB (1,504 words) - 22:52, 5 May 2025
  • anomaly Kohn effect Kohn–Sham equations Koide formula Kolmogorov–ArnoldMoser theorem Komar mass Kondo effect Konishi anomaly Konrad Beyerle Konrad Bleuler...
    7 KB (735 words) - 03:33, 6 April 2025
  • Introduction to the Content, History, and Significance of Classical KolmogorovArnoldMoser Theory. [Hackensack], New Jersey: World Scientific Publishing Company...
    12 KB (1,322 words) - 12:50, 15 March 2025
  • 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...
    50 KB (5,512 words) - 13:52, 24 April 2025