Kolmogorov's theorem for low-dimensional invariant tori of Hamiltonian systems

DOI10.1134/S106456241104017XzbMath1252.37052arXiv1506.00383OpenAlexW2963912101MaRDI QIDQ656386

P. I. Plotnikov, Ivan V. Kuznetsov

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00383

zbMATH Keywords

perturbation theoryHamiltonian systemsKAM theoryquasi-periodicitylow-dimensional invariant tori

Mathematics Subject Classification ID

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

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Cites Work

• Nearly integrable infinite-dimensional Hamiltonian systems
• Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems
• Morse theory for conditionally-periodic solutions to Hamiltonian systems
• Quasi-periodic motions in families of dynamical systems. Order amidst chaos
• A variational principle for invariant tori of fixed frequency