Orbital invariants of flat billiards bounded by arcs of confocal quadrics and containing focuses

DOI10.3103/S0027132221040070zbMath1483.37076MaRDI QIDQ2666949

V. V. Vedyushkina

Publication date: 23 November 2021

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

zbMATH Keywords

integrable systembilliardFomenko-Zieschang invariantorbital equivalenceLiouville equivalence

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (1)

Billiards and integrable systems

Cites Work

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• Description of singularities for system ``billiard in an ellipse
• Orbital classification of geodesic flows on two-dimensional ellipsoids. The Jacobi problem is orbitally equivalent to the integrable Euler case in rigid body dynamics
• Poncelet Porisms and Beyond
• A topological classification of billiards in locally planar domains bounded by arcs of confocal quadrics

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