Geometric Averaging of Hamiltonian Systems: Periodic Solutions, Stability, and KAM Tori

DOI10.1137/100807673zbMath1277.37090OpenAlexW1985283608MaRDI QIDQ5388623

Patricia Yanguas, Kenneth R. Meyer, Jesús F. Palacián

Publication date: 19 April 2012

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100807673

zbMATH Keywords

periodic solutionsangular momentumnormalizationaveragingKAM torusreduced spaceplanar and spatial restricted \(N\)-body problems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) (n)-body problems (70F10) Averaging of perturbations for nonlinear problems in mechanics (70K65)

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