Billiards Within Ellipsoids in the 4-Dimensional Pseudo-Euclidean Spaces

2023, Volume 28, Number 1, pp. 14-43

Author(s): Dragović V., Radnović M.

We study billiard systems within an ellipsoid in the 4-dimensional pseudo-Euclidean spaces. We provide an analysis and description of periodic and weak periodic trajectories in algebro-geometric and functional-polynomial terms.

Keywords: ellipsoidal billiards, caustics, confocal families of quadrics, extremal polynomials, periodic trajectories, Poncelet porism

Citation: Dragović V., Radnović M., Billiards Within Ellipsoids in the 4-Dimensional Pseudo-Euclidean Spaces, Regular and Chaotic Dynamics, 2023, Volume 28, Number 1, pp. 14-43

DOI: 10.1134/S1560354723010033

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