A point-wise criterion for quasi-periodic motions in the KAM theory

DOI10.1016/J.NA.2010.06.058zbMath1380.70042OpenAlexW2042007051MaRDI QIDQ708645

Kohei Soga

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.058

zbMATH Keywords

quasi-periodic motionsKAM theorynearly integrable Hamiltonian systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) 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 (1)

On the reducibility for a class of quasi-periodic Hamiltonian systems with small perturbation parameter

Cites Work

• Unnamed Item
• Existence of KAM tori in degenerate Hamiltonian systems
• Invariant tori for nearly integrable Hamiltonian systems with degeneracy
• KAM-stable Hamiltonians
• Convergent series expansions for quasi-periodic motions
• A lecture on the classical KAM theorem
• Integrability of hamiltonian systems on cantor sets
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• Unfoldings and bifurcations of quasi-periodic tori

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