title: The transgression effect in the problem of motion of an almost holonomic pendulum
metadata.name: dc.contributor.author
metadata.value: Kuleshov, Alexander S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Ulyatovskaya, Irina I.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-05-28T18:24:16Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-05-28T18:24:16Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kuleshov A. S., Ulyatovskaya I. I. The transgression effect in the problem of motion of an almost holonomic pendulum. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 2, pp. 356–362.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2020.217
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17955
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In 1986, Ya. V. Tatarinov presented the basis of the theory of weakly nonholonomic systems.
  Mechanical systems with nonholonomic constraints depending on a small parameter are
  considered. It is assumed that when the value of this parameter is zero, the constraints of
  such a system become integrable, i. e. in this case we have a family of holonomic systems
  depending on several arbitrary integration constants. We will assume that these holonomic
  systems are integrable hamiltonian systems. When the small parameter is not zero, the
  methods of perturbation theory can be used to represent, to a first approximation, the
  motion of the system with nonzero parameter values, as a combination of the motion of
  a slightly modified holonomic system with slowly varying previous integration constants
  (transgression effect). In this paper, we describe the transgression effect in the problem of
  motion of an almost holonomic pendulum.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work is supported by Russian Foundation for Basic Research (grants 19-01-00140, 20-01-00637).
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 7 (65); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: weakly nonholonomic systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: almost holonomic pendulum
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: transgression
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The transgression effect in the problem of motion of an almost holonomic pendulum
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 356-361.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17955/1/356-361.pdf
resources.format: Adobe PDF
resources.size: 297,38 kB