title: Transgression effect in the problem of motion of a rod on a cylinder
metadata.name: dc.contributor.author
metadata.value: Kuleshov, Alexander S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Vidov, Nikita M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-10-10T09:58:48Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-10-10T09:58:48Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kuleshov A. S., Vidov N. M. Transgression effect in the problem of motion of a rod on a cylinder. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 3, pp. 568–580. https://doi.org/10.21638/spbu01.2023.310 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.310
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44177
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The problem of motion of a heavy rigid thin rod on a perfectly rough right circular cylinder
  is considered. It is assumed that the generatrix of the cylinder has a nonzero angle with the
  direction of gravity. The equilibrium positions of the rod on a cylinder form the equilibria
  manifold (for all these equilibria the rod touches the cylinder by its center of mass). The
  effect of transgression (nontrivial evolution along the equilibria manifold) of the rod on the
  cylinder is studied by the normal form method.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10 (68); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: nonholonomic system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: equilibria manifold
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: transgression effect
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Transgression effect in the problem of motion of a rod on a cylinder
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 568-580.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44177/1/568-580.pdf
resources.format: Adobe PDF
resources.size: 299,84 kB