Realizing integrable Hamiltonian systems by means of billiard books

DOI10.1090/mosc/324zbMath1498.37093OpenAlexW4220787008WikidataQ114094281 ScholiaQ114094281MaRDI QIDQ5082249

V. A. Kibkalo, A. T. Fomenko, Irina S. Kharcheva

Publication date: 16 June 2022

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mosc/324

zbMATH Keywords

rigid body dynamicssingularityintegrable Hamiltonian systemFomenko-Zieschang invariantLiouville foliationbilliard bookmathematical billiard

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (4)

Topological classification of billiards bounded by confocal quadrics in three-dimensional Euclidean space ⋮ Modeling the degenerate singularities of integrable billiard systems by billiard books ⋮ Topology of isoenergy 5-surfaces of a three-axial ellipsoid with a Hooke potential ⋮ Topology of Liouville foliations of integrable billiards on table-complexes

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