Topology of Liouville foliations for integrable billiards in non-convex domains

DOI10.3103/S002713221803004XzbMath1397.37060OpenAlexW2855330644MaRDI QIDQ1791619

V. A. Moskvin

Publication date: 10 October 2018

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

Full work available at URL: https://doi.org/10.3103/s002713221803004x

zbMATH Keywords

confocal quadricsplane billiardFomenko moleculeLiouville equivalence invariants

Mathematics Subject Classification ID

Related Items (6)

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Cites Work

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• Integrable billiards model important integrable cases of rigid body dynamics
• Each finite group is the symmetry group of some map (an ``atom-bifurcation)
• Bifurcations of Liouville tori in elliptical billiards
• An analogue of the Liouville theorem for integrable Hamiltonian systems with incomplete flows
• Symmetries groups of nice Morse functions on surfaces
• Billiard Systems as the Models for the Rigid Body Dynamics
• A topological classification of billiards in locally planar domains bounded by arcs of confocal quadrics
• Maximally symmetric cell decompositions of surfaces and their coverings
• Integrable topological billiards and equivalent dynamical systems
• Algebra of operators on the ring of polytopes and quasi-symmetric functions

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