title: Analytical research of the Hopf bifurcation in the problem of motion of the rattleback
metadata.name: dc.contributor.author
metadata.value: Kuleshov, Alexander S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Pikunova, Elizaveta N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-07-08T08:58:13Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-07-08T08:58:13Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kuleshov A. S., Pikunova E.N. Analytical research of the Hopf bifurcation in the problem of motion of the rattleback. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 2, pp. 305–316.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.211
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/37111
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We consider the classical problem of the nonholonomic system dynamics — the problem
  of motion of a heavy rigid body on an perfectly rough horizontal plane. The effect of
  loss of stability of permanent rotation of a body at a certain critical value of its angular
  velocity is discussed. It is proved that this effect is accompanied by the occurrence of
  periodic motions of the body with a frequency close to the critical value, that is, the Hopf
  bifurcation takes place. It is proved by direct calculation of the first Lyapunov coefficient
  that the corresponding periodic motions are unstable.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Foundation for Basic Research (project no. 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 9 (67); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: rattleback
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: rolling without sliding
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: permanent rotations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Hopf bifurcation
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Analytical research of the Hopf bifurcation in the problem of motion of the rattleback
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 305-316.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/37111/1/305-316.pdf
resources.format: Adobe PDF
resources.size: 317,89 kB