The KAM theorem through Dirichlet's box and Khintchine's transference principles

zbMath1336.37049arXiv1303.3555MaRDI QIDQ2801858

Abed Bounemoura

Publication date: 22 April 2016

Full work available at URL: https://arxiv.org/abs/1303.3555

zbMATH Keywords

Diophantine approximationKAM theoryKhintchine transference

Mathematics Subject Classification ID

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) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Nearly integrable Hamiltonian systems, KAM theory (70H08) Approximation by numbers from a fixed field (11J17)

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