title: Equilibria and oscillations in a reversible mechanical system
metadata.name: dc.contributor.author
metadata.value: Tkhai, Valentin N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-02-16T19:56:18Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-02-16T19:56:18Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Tkhai V.N. Equilibria and oscillations in a reversible mechanical system. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 4, pp. 709–715.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2021.416
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/35119
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The paper investigates symmetric periodic motions (SPM) of reversible mechanical systems.
  A solution is given to the problem of bilateral continuation of a nondegenerate SPM to the
  global family of such SPMs. The result is applied to the general case of Euler’s problem on
  a heavy rigid body, when the body parameters are not bound by equality conditions and
  two families of pendulum oscillations are found connecting the lower and upper equilibria.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work is supported by Russian Foundation for Basic Research (grant no. 19-01-00146).
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 8 (66); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: reversible mechanical system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: equilibrium
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: symmetric periodic motion
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: continuation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: global family
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Euler’s problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: pendulum oscillations
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Equilibria and oscillations in a reversible mechanical system
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 709-715.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/35119/1/709-715.pdf
resources.format: Adobe PDF
resources.size: 272,55 kB