Minkowski plane, confocal conics, and billiards | Zendy

Vladimir Dragović | Zendy; Milena Radnović | Zendy

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Minkowski plane, confocal conics, and billiards

Author(s) -

Vladimir Dragović,

Milena Radnović

Publication year - 2013

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1308017d

Subject(s) - dynamical billiards , minkowski space , conic section , plane (geometry) , confocal , mathematics , physics , geometry , classical mechanics , mathematical analysis

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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