Authors: Dragović, Vladimir 
Radnović, Milena
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Periodic Trajectories of Ellipsoidal Billiards in the 3-Dimensional Minkowski Space
Journal: Asymptotic, Algebraic and Geometric Aspects of Integrable Systems
Series/Report no.: Springer Proceedings in Mathematics & Statistics
Volume: 338
First page: 159
Last page: 174
Conference: Asymptotic, Algebraic and Geometric Aspects of Integrable Systems Workshop, 2018; Sanya; China; 9 April 2018 through 13 April 2018
Issue Date: 24-Oct-2020
Rank: M33
ISBN: 978-3-030-56999-0
ISSN: 2194-1009
DOI: 10.1007/978-3-030-57000-2_8
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.
Keywords: Ellipsoidal billiards | Hyper-elliptic curves | Pell’s equation | Periodic trajectories | Poncelet theorem | Pseudo-Euclidean spaces
Publisher: Springer Link
Project: Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems 

Show full item record

Page view(s)

31
checked on Dec 6, 2022

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.