DC Field | Value | Language |
---|---|---|
dc.contributor.author | Dragović, Vladimir | en_US |
dc.contributor.author | Radnović, Milena | en_US |
dc.date.accessioned | 2023-06-07T12:46:53Z | - |
dc.date.available | 2023-06-07T12:46:53Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/5051 | - |
dc.description.abstract | We study resonant billiard trajectories within quadrics in the d-dimensional Euclidean space. We relate them to the theory of approximation, in particular the extremal rational functions on the systems of d intervals on the real line. This fruitful link enables us to prove fundamental properties of the billiard dynamics and to provide a comprehensive study of a large class of non-periodic trajectories of integrable billiards. A key ingredient is a functional-polynomial relation of a generalized Pell type. Applying further these ideas and techniques to s-weak billiard trajectories, we come to a functional-polynomial relation of the same generalized Pell type. | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.ispartof | Advances in Mathematics | en_US |
dc.subject | Caustics | Cayley-type conditions | Ellipsoidal billiards | Elliptic and hyper-elliptic curves | Generalized Pell's equations | Resonant trajectories | en_US |
dc.title | Resonance of ellipsoidal billiard trajectories and extremal rational functions | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1016/j.aim.2023.109044 | - |
dc.identifier.scopus | 2-s2.0-85153285651 | - |
dc.contributor.affiliation | Mechanics | en_US |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.relation.firstpage | 109044 | - |
dc.relation.volume | 424 | - |
dc.description.rank | ~M21 | - |
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 | 0000-0002-0295-4743 | - |
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