DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jovanović, Božidar | en |
dc.date.accessioned | 2020-05-18T13:03:41Z | - |
dc.date.available | 2020-05-18T13:03:41Z | - |
dc.date.issued | 2013-10-01 | en |
dc.identifier.issn | 0003-9527 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/2705 | - |
dc.description.abstract | In this article, we construct the Lax representations of the geodesic flow, the Jacobi-Rosochatius problem and its perturbations by means of separable polynomial potentials on an ellipsoid. We prove complete integrability in the case of a generic symmetric ellipsoid and describe analogous systems on complex projective spaces. Also, we consider billiards within an ellipsoid under the influence of the Hook and Rosochatius potentials between the impacts. A geometric interpretation of the integrability analogous to the classical Chasles and Poncelet theorems is given. | en |
dc.publisher | Springer Link | - |
dc.relation.ispartof | Archive for Rational Mechanics and Analysis | en |
dc.title | The Jacobi-Rosochatius Problem on an Ellipsoid: The Lax Representations and Billiards | en |
dc.type | Article | en |
dc.identifier.doi | 10.1007/s00205-013-0638-4 | en |
dc.identifier.scopus | 2-s2.0-84879900309 | en |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.relation.firstpage | 101 | en |
dc.relation.lastpage | 131 | en |
dc.relation.issue | 1 | en |
dc.relation.volume | 210 | en |
dc.description.rank | M21a | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
crisitem.author.orcid | 0000-0002-3393-4323 | - |
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