On the numerical optimization of KAM estimates by classical perturbation theory

DOI10.1007/BF00948734zbMath0665.70020OpenAlexW2077962640MaRDI QIDQ1116372

Alessandra Celletti, Antonio Giorgilli

Publication date: 1988

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00948734

zbMATH Keywords

perturbationforced pendulumlower boundinvariant torus

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05)

Related Items

KAM tori for \(n\)-body problems: a brief history ⋮ Kolmogorov variation: Kam with knobs \textit{(à la Kolmogorov)} ⋮ Analysis of resonances in the spin-orbit problem in celestial mechanics. I: The synchronous resonance ⋮ Analysis of resonances in the spin-orbit problem in celestial mechanics. II: Higher order resonances and some numerical experiments ⋮ Explicit estimates on the measure of primary KAM tori ⋮ Construction of librational invariant tori in the spin-orbit problem

Cites Work

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• Construction of analytic KAM-surfaces and effective stability bounds
• Rigorous estimates for a computer-assisted KAM theory