Kolmogorov theorem revisited

DOI10.1016/j.jde.2008.02.010zbMath1143.37044OpenAlexW2051435621MaRDI QIDQ926863

Jordi Villanueva

Publication date: 21 May 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/2820

zbMATH Keywords

Hamiltonian systemsinvariant toriKolmogorov theorem

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

• Estimates in the Kolmogorov theorem on conservation of conditionally periodic motions
• On the stability of realistic three-body problems
• A proof of Kolmogorov's theorem.
• Iteration of analytic functions
• Integrability of hamiltonian systems on cantor sets
• On the normal behaviour of partially elliptic lower-dimensional tori of Hamiltonian systems
• KAM theory without action-angle variables
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• Convergence of the von Zeipel procedure
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