Authors: Dragović, Vladimir 
Radnović, Milena
Adabrah, Anani Komla
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Elliptical billiards in the Minkowski plane and extremal polynomials
First page: 20
Last page: 31
Conference: Conference Scientific Heritage of Sergey A. Chaplygin: Nonholonomic Mechanics, Vortex Structures and Hydrodynamics, Chuvash State University, Cheboksary, 2–6 June, 2019
Issue Date: 2019
Rank: M30
Abstract: 
We derive necessary and sufficient conditions for periodic and for elliptic periodic trajectories of billiards within an ellipse in the Minkowski plane in terms of an underlining elliptic curve. Equivalent conditions are derived in terms of polynomial-functional equations as well. The corresponding polynomials are related to the classical extremal polynomials. The similarities and differences with respect to previously studied Euclidean case are indicated.

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