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Periodic trajectories of ellipsoidal billiards in the 3-dimensional Minkowski space
Published 18 Sep 2019 in math.DS, math-ph, math.MP, and nlin.SI | (1909.08154v1)
Abstract: In this paper, we give detailed analysis and description of periodic trajectories of the billiard system within an ellipsoid in the 3-dimensional Minkowski space, taking into account all possibilities for the caustics. The conditions for periodicity are derived in algebro-geometric, analytic, and polynomial form.
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