DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jovanović, Božidar | en |
dc.date.accessioned | 2020-05-18T13:03:39Z | - |
dc.date.available | 2020-05-18T13:03:39Z | - |
dc.date.issued | 2019-01-01 | en |
dc.identifier.issn | 1450-5584 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/2690 | - |
dc.description.abstract | In this note we consider the nonholonomic problem of rolling without slipping and twisting of an n-dimensional balanced ball over a fixed sphere. This is a SO(n)-Chaplygin system with an invariant measure that reduces to the cotangent bundle T* Sn-1. For the rigid body inertia operator Iω = Iω + ωI, I = diag(I1, ..., In) with a symmetry I1 = I2 = ··· = Ir ≠ Ir+1 = Ir+2 = ··· = In, we prove that the reduced system is integrable, general trajectories are quasi-periodic, while for r ≠ 1, n - 1 the Chaplygin reducing multiplier method does not apply. | en |
dc.publisher | Serbian Society of Mechanics | - |
dc.relation | Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems | - |
dc.relation.ispartof | Theoretical and Applied Mechanics | en |
dc.subject | Integrability | Invariant measure | Nonholonomic Chaplygin systems | en |
dc.title | Note on a ball rolling over a sphere: Integrable Chaplygin system with an invariant measure without Chaplygin hamiltonization | en |
dc.type | Article | en |
dc.identifier.doi | 10.2298/TAM190322003J | en |
dc.identifier.scopus | 2-s2.0-85072761492 | en |
dc.relation.firstpage | 97 | en |
dc.relation.lastpage | 108 | en |
dc.relation.issue | 1 | en |
dc.relation.volume | 46 | en |
dc.description.rank | M24 | - |
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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