title: On the stability of “nonlinear center” under quasiperiodic perturbations
metadata.name: dc.contributor.author
metadata.value: Basov, Vladimir V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Bibikov, Yuri N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-05-28T17:21:40Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-05-28T17:21:40Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Basov V.V., Bibikov Yu.N. On the stability of “nonlinear center” under quasiperiodic perturbations. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 2, pp. 269–276.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2020.209
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17940
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The problem of the stability of the zero solution of a system with critical point of the “center”
  type at the origin, is considered. Such problem for autonomous systems was investigated by
  Liapunov. Investigations of Liapunov were continued by the authers for systems periodic in
  time. In the present paper systems with quasi-periodic dependence on time, are considered.
  It is supposed that the basic frequencies of quasi-periodic functions sutisfy the standard
  condition of diophantine type. The problem under consideration can be intepreted as the
  problem of the stability of the state of equilibrium of the oscillator ¨x + x2n−1 = 0, n is a
  integer, n ≥ 2, under “small” quasiperiodic pertubations.
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: stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: center
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: quasi-periodic function
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the stability of “nonlinear center” under quasiperiodic perturbations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 269-276.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17940/1/269-276.pdf
resources.format: Adobe PDF
resources.size: 299,1 kB