Vladimir Dragović, Milena Radnović, “Billiards Within Ellipsoids in the 4-Dimensional Pseudo-Euclidean Spaces”, Regul. Chaotic Dyn., 2023, том 28, выпуск 1,страницы 14

Эта публикация цитируется в 1 статье

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

Vladimir Dragović^ab, Milena Radnović^ca

^a Mathematical Institute SANU, Kneza Mihaila 36, 11000 Beograd, p. p. 367, Serbia
^b The University of Texas in Dallas, Department of Mathematical Sciences, 800 W. Campbell Rd, 75080-3021 Richardson TX, USA
^c The University of Sydney, School of Mathematics and Statistics, Carslaw F07, 2006 NSW, Australia

Аннотация: 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.

Ключевые слова: ellipsoidal billiards, caustics, confocal families of quadrics, extremal polynomials, periodic trajectories, Poncelet porism.

MSC: 37J35, 37D50, 14H70, 26C05, 41A10, 70H06

Поступила в редакцию: 29.11.2022
Принята в печать: 05.01.2023

Язык публикации: английский

DOI: 10.1134/S1560354723010033