Singular reduction of resonant Hamiltonians

DOI10.1088/1361-6544/aab591zbMath1435.37087OpenAlexW2802441037WikidataQ114096665 ScholiaQ114096665MaRDI QIDQ4569245

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

Publication date: 28 June 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/2454/28577

zbMATH Keywords

normal formorbifoldsingular reductionsymplectic coordinatesresonant Hamiltoniansymplectic smoothing

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) (n)-body problems (70F10) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Averaging of perturbations for nonlinear problems in mechanics (70K65) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (9)

Symmetric periodic solutions of symmetric Hamiltonians in 1 : 1 resonance ⋮ Periodic Solutions and KAM Tori in a Triaxial Potential ⋮ On Co-Orbital Quasi-Periodic Motion in the Three-Body Problem ⋮ Reeb's theorem and periodic orbits for a rotating Hénon-Heiles potential ⋮ Nondegenerate Hamiltonian Hopf bifurcations in \(\omega:3:6\) resonance \((\omega=1\) or \(2)\) ⋮ A first integral to the partially averaged Newtonian potential of the three-body problem ⋮ On the detuned 2:4 resonance ⋮ Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential ⋮ Armbruster – Guckenheimer – Kim Hamiltonian System in $\bs 1$:$\bs 1$ Resonance

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