On the sharpness of the Rüssmann estimates

DOI10.1016/j.cnsns.2017.06.021OpenAlexW2702557298MaRDI QIDQ2204896

Alejandro Luque, Jordi-Lluís Figueras, Àlex Haro

Publication date: 16 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.06809

zbMATH Keywords

KAM theorysmall divisorscohomological equationsRüssmann estimates

Mathematics Subject Classification ID

Real functions (26-XX) Difference and functional equations (39-XX)

Related Items (4)

A-posteriori KAM theory with optimal estimates for partially integrable systems ⋮ Efficient and reliable algorithms for the computation of non-twist invariant circles ⋮ Orbit determination for standard-like maps: asymptotic expansion of the confidence region in regular zones ⋮ Whiskered parabolic tori in the planar \((n+1)\)-body problem

Uses Software

• MPFI

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
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• Invariant tori in the secular motions of the three-body planetary systems

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