Billiards Within Ellipsoids in the \(4\)-Dimensional Pseudo-Euclidean Spaces

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Regular and Chaotic Dynamics Pub Date : 2023-03-10 DOI:10.1134/S1560354723010033

Vladimir Dragović, Milena Radnović

引用次数: 0

Abstract

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.

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\(4\)维伪欧几里德空间中椭球体内的台球

我们研究了\(4\)维伪欧几里德空间中椭球体内的台球系统。我们给出了周期和弱周期轨迹在代数几何和函数多项式项中的分析和描述。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Regular and Chaotic Dynamics 物理-力学

CiteScore

2.50

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Regular and Chaotic Dynamics (RCD) is an international journal publishing original research papers in dynamical systems theory and its applications. Rooted in the Moscow school of mathematics and mechanics, the journal successfully combines classical problems, modern mathematical techniques and breakthroughs in the field. Regular and Chaotic Dynamics welcomes papers that establish original results, characterized by rigorous mathematical settings and proofs, and that also address practical problems. In addition to research papers, the journal publishes review articles, historical and polemical essays, and translations of works by influential scientists of past centuries, previously unavailable in English. Along with regular issues, RCD also publishes special issues devoted to particular topics and events in the world of dynamical systems.