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dc.contributor.authorAdabrah, Anani Komlaen
dc.contributor.authorDragović, Vladimiren
dc.contributor.authorRadnović, Milenaen
dc.date.accessioned2020-05-16T17:02:12Z-
dc.date.available2020-05-16T17:02:12Z-
dc.date.issued2019-01-01en
dc.identifier.issn2658-5324en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/2630-
dc.description.abstractWe derive necessary and sufficient conditions for periodic trajectories of billiards within an ellipse in the Minkowski plane in terms of an underlying elliptic curve. Equivalent conditions are derived in terms of polynomial-functional equations as well. The corresponding polynomials are related to the classical extremal polynomials. Similarities and differences with respect to the previously studied Euclidean case are indicated.en
dc.publisherInstitute of Computer Science Izhevsk-
dc.relationGeometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems-
dc.relation.ispartofRussian Journal of Nonlinear Dynamicsen
dc.subjectAkhiezer polynomials | Elliptic curve | Elliptical billiards | Minkowski planeen
dc.titleElliptical Billiards in the Minkowski plane and extremal polynomialsen
dc.typeArticleen
dc.identifier.doi10.20537/nd190401en
dc.identifier.scopus2-s2.0-85083503987en
dc.relation.firstpage397en
dc.relation.lastpage407en
dc.relation.issue4en
dc.relation.volume15en
item.cerifentitytypePublications-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.orcid0000-0002-0295-4743-
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