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dc.contributor.authorJovanović, Božidaren
dc.date.accessioned2020-05-18T13:03:40Z-
dc.date.available2020-05-18T13:03:40Z-
dc.date.issued2017-01-01en
dc.identifier.issn1450-5584en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/2697-
dc.description.abstractIn this note we consider a method of generating functions for systems with constraints and, as an example, we prove that the billiard mappings for billiards on the Euclidean space, sphere, and the Lobachevsky space are sympletic. Further, by taking a quadratic generating function we get the skew-hodograph mapping introduced by Moser and Veselov, which relates the ellipsoidal billiards in the Euclidean space with the Heisenberg magnetic spin chain model on a sphere. We define analogous mapping for the ellipsoidal billiard on the Lobachevsky space. It relates the billiard with the Heisenberg spin model on the light-like cone in the Lorentz-Poincare-Minkowski space.en
dc.publisherSerbian Society for Mechanics-
dc.relationGeometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems-
dc.relation.ispartofTheoretical and Applied Mechanicsen
dc.subjectDirac brackets | Ellipsoidal billiards | Generating functions | Heisenberg spin model | Skew-hodograph mappingen
dc.titleBilliards on constant curvature spaces and generating functions for systems with constraintsen
dc.typeArticleen
dc.identifier.doi10.2298/TAM170523005Jen
dc.identifier.scopus2-s2.0-85021756818en
dc.relation.firstpage103en
dc.relation.lastpage114en
dc.relation.issue1en
dc.relation.volume44en
dc.description.rankM24-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.fulltextNo Fulltext-
crisitem.author.orcid0000-0002-3393-4323-
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