Fomenko-Zieschang invariants of topological billiards bounded by confocal parabolas

DOI10.3103/S0027132218040046zbMath1400.37066OpenAlexW2891562615WikidataQ129298296 ScholiaQ129298296MaRDI QIDQ1626648

V. V. Vedyushkina

Publication date: 21 November 2018

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

Full work available at URL: https://doi.org/10.3103/s0027132218040046

zbMATH Keywords

integrable billiardstopological classificationFomenko-Zieschang invariants

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (3)

Billiards and integrability in geometry and physics. New scope and new potential ⋮ Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards ⋮ Topology of Liouville foliations of integrable billiards on table-complexes

Cites Work

• Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas
• Classification of billiard motions in domains bounded by confocal parabolas
• A topological classification of billiards in locally planar domains bounded by arcs of confocal quadrics
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