{"title":"Minkowski plane, confocal conics, and billiards","authors":"V. Dragović, M. Radnović","doi":"10.2298/PIM1308017D","DOIUrl":null,"url":null,"abstract":"Geometry of confocal conics in the Minkowski plane and related billiard \n dynamics are studied in details. Periodic trajectories are described and \n several new examples are presented. Topological properties of the elliptical \n billiards are analyzed and the results are formulated in the terms of the \n Fomenko graphs. [Projekat Ministarstva nauke Republike Srbije, br. 174020: \n Geometry and Topology of Manifolds and Integrable Dynamical Systems]","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Publications De L'institut Mathematique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/PIM1308017D","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
Abstract
Geometry of confocal conics in the Minkowski plane and related billiard
dynamics are studied in details. Periodic trajectories are described and
several new examples are presented. Topological properties of the elliptical
billiards are analyzed and the results are formulated in the terms of the
Fomenko graphs. [Projekat Ministarstva nauke Republike Srbije, br. 174020:
Geometry and Topology of Manifolds and Integrable Dynamical Systems]
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