The Kolmogorov–Arnold–Moser (KAM) theorem is a result in dynamical systems about the persistence of quasiperiodic motions under small perturbations. The...
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Soviet and Russian mathematician. He is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, and contributed...
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case) Kolmogorov dimension (upper box dimension) Kolmogorov–Arnold theorem Kolmogorov–Arnold–Moser 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 Kolmogorov–Arnold–Moser theorem, mathematical...
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and rendering the law of equipartition valid. However, the Kolmogorov–Arnold–Moser theorem states that energy will not be exchanged unless the nonlinear...
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series) Kolmogorov–Arnold representation theorem (real analysis, approximation theory) Kolmogorov–Arnold–Moser theorem (dynamical systems) König's theorem (bipartite...
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of chaos Determinism Edge of chaos Emergence Mandelbrot set Kolmogorov–Arnold–Moser theorem Ill-conditioning Ill-posedness Nonlinear system Patterns in...
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countries make the transition to a knowledge-based economy Kolmogorov–Arnold–Moser 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 Kolmogorov–Arnold–Moser 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–Arnold–Moser theorem Kolmogorov–Arnold 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 Kolmogorov–Arnold–Moser theorem. 1961 - Edward Norton Lorenz...
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Anosov, developed Anosov diffeomorphism Vladimir Arnold, an author of the Kolmogorov–Arnold–Moser theorem in dynamical systems, solved Hilbert's 13th problem...
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Classical Kolmogorov-arnold-moser Theory. World Scientific Publishing Company. p. 67. ISBN 978-981-4556-60-6. Quasiperiodicity Kolmogorov–Arnold–Moser theorem...
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Anosov, developed Anosov diffeomorphism Vladimir Arnold, an author of the Kolmogorov–Arnold–Moser theorem in dynamical systems, solved Hilbert's 13th problem...
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natural way to apply" the Kolmogorov–Arnold–Moser theorem to the problem. The original work of Vladimir Arnold on this theorem attempted to use it to show...
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Anosov, developed Anosov diffeomorphism Vladimir Arnold, an author of the Kolmogorov–Arnold–Moser theorem in dynamical systems, solved Hilbert's 13th problem...
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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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integrability to chaos in Hamiltonian systems and in particular the Kolmogorov–Arnold–Moser 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–Arnold–Moser theorem Komar mass Kondo effect Konishi anomaly Konrad Beyerle Konrad Bleuler...
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instead. His best-known student was Jürgen Moser, one of the founders of KAM theory (Kolmogorov–Arnold–Moser), 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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complex plane, implying that the map is still hyperbolic. The Kolmogorov–Arnold–Moser (KAM) theorem gives the behavior near an elliptic point. When the evolution...
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by Robert J. Frey.[citation needed] Douady worked on the Kolmogorov–Arnold–Moser (KAM) theorem on the existence of invariant tori in Hamiltonian systems...
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systems, as embodied within the most elementary formulation of Noether's theorem. These approaches and ideas have been extended to other areas of physics...
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systems and control Dmitri Anosov Vladimir Arnold Nikolay Bogolyubov Andrey Kolmogorov Nikolay Krylov Jürgen Moser Yakov G. Sinai Stephen Smale Hillel Furstenberg...
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4249/scholarpedia.2111. Chierchia, Luigi; Mather, John N. (2010). "Kolmogorov–Arnold–Moser Theory". Scholarpedia. 5 (9): 2123. Bibcode:2010SchpJ...5.2123C...
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