Periodic trajectories of ellipsoidal billiards in the 3-dimensional Minkowski space

DOI10.1007/978-3-030-57000-2_8zbMath1464.37063arXiv1909.08154OpenAlexW2973654958MaRDI QIDQ2658244

Vladimir Dragović, Milena Radnović

Publication date: 19 March 2021

Full work available at URL: https://arxiv.org/abs/1909.08154

zbMATH Keywords

hyperelliptic curvesperiodic trajectoriesPell's equationPoncelet theoremellipsoidal billiardspseudo-euclidean spaces

Mathematics Subject Classification ID

Orbit growth in dynamical systems (37C35) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38) Dynamical systems with singularities (billiards, etc.) (37C83)

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