title: Areas of attraction of the pendulum under the influence of oblique vibration of the suspension point
metadata.name: dc.contributor.author
metadata.value: Petrov, Аlexander G.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-10-07T12:47:55Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-10-07T12:47:55Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Petrov A.G. Areas of attraction of the pendulum under the influence of oblique vibration of the suspension point. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 3, pp. 511–522.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2021.312
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/33266
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The inverse problem of stabilizing a spherical pendulum in a given position by means of
  high-frequency vibration of the suspension point is posed. The position of the pendulum
  is determined by the angle between the pendulum rod and the vertical. For any given
  position of the pendulum, a one-parameter series of oblique vibration characteristics (the
  amplitude of the vibration velocity and the angle between the vibration velocity vector and
  the vertical) is found to stabilize the pendulum in this position. For the obtained series, the
  regions of attraction are determined (the initial points from which a given stable position
  of the pendulum will be established under the influence of vibration).
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work was carried out within the framework of the state task (state registration number AAAAA20-
  120011690138-6).
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 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: spherical pendulum
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: vibration of the suspension point
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: inverse problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: region of attraction
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Areas of attraction of the pendulum under the influence of oblique vibration of the suspension point
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 511-522.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/33266/1/511-522.pdf
resources.format: Adobe PDF
resources.size: 461,79 kB