Scattering invariants in Euler’s two-center problem

DOI10.1088/1361-6544/aaf542zbMath1410.37058arXiv1801.09613OpenAlexW3105809143MaRDI QIDQ4628633

Holger Waalkens, Holger R. Dullin, Konstantinos Efstathiou, Nikolay N. Martynchuk

Publication date: 14 March 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09613

zbMATH Keywords

Hamiltonian systemLiouville integrabilityaction-angle coordinatesscattering mapscattering monodromy

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Topology of vector bundles and fiber bundles (57R22) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Collisions in celestial mechanics, regularization (70F16)

Related Items (4)

Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres ⋮ Hamiltonian monodromy and Morse theory ⋮ A Lagrangian fibration of the isotropic 3-dimensional harmonic oscillator with monodromy ⋮ Recent advances in the monodromy theory of integrable Hamiltonian systems

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