Liouville classification of integrable geodesic flows on a torus of revolution in a potential field

DOI10.3103/S0027132217030056zbMath1372.37114OpenAlexW2727060494MaRDI QIDQ2403573

D. S. Timonina

Publication date: 8 September 2017

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132217030056

zbMATH Keywords

integrable Hamiltonian systemFomenko-Zieschang invariantclassification of singularities

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Topological classification of billiards bounded by confocal quadrics in three-dimensional Euclidean space, Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards, Implementation of integrable systems by topological, geodesic billiards with potential and magnetic field

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