Invariant hyperbolic tori for Gevrey-smooth Hamiltonian systems under Rüssmann's non-degeneracy condition

DOI10.1007/s10114-008-6180-xzbMath1148.70010OpenAlexW2074011424MaRDI QIDQ953223

Junxiang Xu, Dongfeng Zhang

Publication date: 17 November 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6180-x

zbMATH Keywords

Gevrey indexKAM iteration

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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

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