title: Nonexistence of liouvillian solutions in the problem of motion of a rotationally symmetric ellipsoid on a perfectly rough plane
metadata.name: dc.contributor.author
metadata.value: Kuleshov, Alexander S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Itskovich, Mikhail O.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-07-19T10:10:25Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-07-19T10:10:25Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kuleshov A. S., Itskovich M.O. Nonexistence of liouvillian solutions in the problem of motion of a rotationally symmetric ellipsoid on a perfectly rough plane. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 2, pp. 291–299.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.213
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6952
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We consider the classical problem of nonholonomic system dynamics the problem of motion of a
  rotationally symmetric ellipsoid on a fixed perfectly rough horizontal plane. It is well known that the
  solution of this problem is reduced to the integration of the second order linear differential equation with
  respect to r  the projection of the angular velocity of the ellipsoid onto its axis of symmetry. Using the
  Kovacic algorithm we prove the nonexistence of liouvillian solutions for the corresponding second order
  linear differential equation for almost all values of parameters of the problem. The paper is organized as
  follows. After the introductory paragraph, in the second paragraph we briefly discuss the Kovacic algorithm
  for solving the second order linear differential equation. In the third paragraph we apply this algorithm
  to the problem of motion of a rotationally symmetric ellipsoid on a perfectly rough horizontal plane and
  prove the nonexistence of liouvillian solutions in the considered problem. Refs 4.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (гранты №16-01-00338 и №17-01-00123).
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 4 (62); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: rotationally symmetric ellipsoid
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Kovacic algorithm
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: liouvillian solutions
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Nonexistence of liouvillian solutions in the problem of motion of a rotationally symmetric ellipsoid on a perfectly rough plane
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 13-Kuleshov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6952/1/13-Kuleshov.pdf
resources.format: Adobe PDF
resources.size: 251,35 kB