A KAM theorem for finitely differentiable Hamiltonian systems
DOI10.1016/j.jde.2020.03.044zbMath1460.37060arXiv1909.04099OpenAlexW2973155030MaRDI QIDQ2184699
Publication date: 29 May 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.04099
KAM theorysmoothing techniquesnearly integrable Hamiltonian systemsCantor-like setArnold's schemesmooth KAM tori
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) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)
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Cites Work
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- Lectures on dynamical systems. Hamiltonian vector fields and symplectic capacities
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