Algorithmic construction of two-dimensional singular fibers of atoms of billiards in non-convex domains

DOI10.3103/S0027132220030043zbMath1468.37027OpenAlexW3134456401MaRDI QIDQ2027860

V. A. Moskvin

Publication date: 28 May 2021

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

Full work available at URL: https://doi.org/10.3103/s0027132220030043

zbMATH Keywords

integrable systemsbilliardFomenko's invariantLiouville's foliation

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)

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Cites Work

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