Billiard books realize all bases of Liouville foliations of integrable Hamiltonian systems

DOI10.1070/SM9468zbMath1485.37056OpenAlexW3153731792WikidataQ114102345 ScholiaQ114102345MaRDI QIDQ5165520

Irina S. Kharcheva, V. V. Vedyushkina

Publication date: 17 November 2021

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9468

zbMATH Keywords

Hamiltonian systemFomenko-Zieschang invariantLiouville equivalencemathematical billiard

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcations of singular points in dynamical systems (37G10) 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 (5)

Topological classification of billiards bounded by confocal quadrics in three-dimensional Euclidean space ⋮ Realizing integrable Hamiltonian systems by means of billiard books ⋮ Modeling the degenerate singularities of integrable billiard systems by billiard books ⋮ Billiards with changing geometry and their connection with the implementation of the Zhukovsky and Kovalevskaya cases ⋮ Topology of Liouville foliations of integrable billiards on table-complexes

Cites Work

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