Kolmogorov's 1954 paper on nearly-integrable Hamiltonian systems

DOI10.1134/S1560354708020056zbMath1229.37077OpenAlexW2017005148MaRDI QIDQ652950

Luigi Chierchia

Publication date: 6 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354708020056

zbMATH Keywords

perturbation theoryHamiltonian systemsKAM theoryKolmogorov's theoremsmall divisorssymplectic transformationsnearly-integrable systems

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (6)

Diophantine sets and Dirichlet improvability ⋮ Bernstein-Remez inequality for algebraic functions: a topological approach ⋮ A proof of the invariant torus theorem of Kolmogorov ⋮ Quasi-periodic motions in a special class of dynamical equations with dissipative effects: a pair of detection methods ⋮ V. I. Arnold's ``Pointwise KAM theorem ⋮ On the algebraic properties of exponentially stable integrable Hamiltonian systems

Cites Work

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