Elliptical Billiards in the Minkowski Plane and Extremal Polynomials

DOI10.20537/nd190401zbMath1441.14116OpenAlexW2999891784MaRDI QIDQ5112937

Anani Komla Adabrah, Vladimir Dragović, Milena Radnović

Publication date: 9 June 2020

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd669

zbMATH Keywords

elliptic curveMinkowski planeAkhiezer polynomialselliptical billiards

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Approximation by polynomials (41A10) Real polynomials: analytic properties, etc. (26C05)

Related Items (2)

Billiards within ellipsoids in the 4-dimensional pseudo-Euclidean spaces ⋮ Periodic billiards within conics in the Minkowski plane and Akhiezer polynomials

Cites Work

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• Ellipsoidal billiards in pseudo-Euclidean spaces and relativistic quadrics
• Pseudo-Riemannian geodesics and billiards
• Caustics of Poncelet polygons and classical extremal polynomials
• Periodic ellipsoidal billiard trajectories and extremal polynomials
• Periodic billiards within conics in the Minkowski plane and Akhiezer polynomials
• Geodesics on an ellipsoid in Minkowski space
• Minkowski plane, confocal conics, and billiards
• Confocal Conics in Space-Time

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