On fourth-degree polynomial integrals of the Birkhoff billiard

DOI10.1134/S0081543816080022zbMath1371.37067OpenAlexW2581734683MaRDI QIDQ521536

Andrey E. Mironov, Misha Bialy

Publication date: 11 April 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543816080022

zbMATH Keywords

ellipseBirkhoff billiard

Mathematics Subject Classification ID

Related Items (6)

On polynomially integrable planar outer billiards and curves with symmetry property ⋮ On polynomially integrable Birkhoff billiards on surfaces of constant curvature ⋮ A survey on polynomial in momenta integrals for billiard problems ⋮ On two-dimensional polynomially integrable billiards on surfaces of constant curvature ⋮ Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards ⋮ Polynomial non-integrability of magnetic billiards on the sphere and the hyperbolic plane

Cites Work

• On a conjugacy problem in billiard dynamics
• An integrable deformation of an ellipse of small eccentricity is an ellipse
• Angular billiard and algebraic Birkhoff conjecture
• On algebraically integrable outer billiards
• Convex billiards and a theorem by E. Hopf
• On the marked length spectrum of generic strictly convex billiard tables
• On the dual billiard problem
• Billiard map and rigid rotation
• Poncelet Porisms and Beyond
• Poincaré - Melnikov - Arnold method for analytic planar maps
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