Invariant tori with prescribed frequency for nearly integrable hamiltonian systems

DOI10.1063/1.4886476zbMath1345.70027OpenAlexW1983937439MaRDI QIDQ3189942

Xuezhu Lu, Junxiang Xu

Publication date: 12 September 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4886476

zbMATH Keywords

nearly integrable Hamiltonian systeminvariant tori with prescribed frequency

Mathematics Subject Classification ID

Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (3)

Persistence of degenerate hyperbolic lower-dimensional invariant tori in Hamiltonian systems with Bruno’s conditions ⋮ A new KAM theorem for the hyperbolic lower dimensional tori in reversible systems ⋮ Persistence of degenerate lower dimensional invariant tori in reversible systems with Bruno non-degeneracy conditions

Cites Work

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• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• Partial preservation of frequencies in KAM theory

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