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A proof of Kolmogorov's theorem.

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Publication:1433927
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DOI10.3934/dcds.2004.10.367zbMath1069.37043OpenAlexW2050850646MaRDI QIDQ1433927

John H. Hubbard, Yulij S. Ilyashenko

Publication date: 1 July 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.367


zbMATH Keywords

KAM theoryinvariant toriHamiltonian mechanics


Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Nearly integrable Hamiltonian systems, KAM theory (70H08)


Related Items (3)

Kolmogorov theorem revisited ⋮ A proof of the invariant torus theorem of Kolmogorov ⋮ Quasiperiodic Hamiltonian motions, scale invariance, harmonic oscillators




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