Nineteen fifty-four: Kolmogorov's new ``metrical approach to Hamiltonian dynamics
DOI10.1134/S1560354724550021MaRDI QIDQ6612697
L. Chierchia, Isabella Fascitiello
Publication date: 1 October 2024
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
perturbation theoryHamiltonian systemsKAM theorysmall divisorssymplectic transformationsnearly-integrable systemshistory of dynamical systemsKolmogorov's theorem on invariant torimeasure of invariant tori
History of mathematics in the 20th century (01A60) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Nearly integrable Hamiltonian systems, KAM theory (70H08) History of mechanics of particles and systems (70-03) History of dynamical systems and ergodic theory (37-03)
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