title: On problems of the theory of stability of weakly hyperbolic invariant sets
metadata.name: dc.contributor.author
metadata.value: Begun, Nikita A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-05-28T17:33:46Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-05-28T17:33:46Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Begun N.A. On problems of the theory of stability of weakly hyperbolic invariant sets. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 2, pp. 289–296.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2020.211
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17943
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This paper represents a brief survey of the theory of stability of weakly hyperbolic invariant
  sets. In a series of papers published by the author together with V. A. Pliss and G. R. Sell,
  it was proved that a weakly hyperbolic invariant set is stable even in the absence of the
  Lipschitz condition. However, the question of uniqueness of leafs of a weakly hyperbolic
  invariant set of a perturbed system remains open. The paper shows the relationship of this problem with the so-called plaque expansivity conjecture in the theory of dynamical
  systems.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work is supported by Russian Foundation for Basic Research (grants 19-01-00388, 18-01-00230).
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: weak hyperbolicity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: leaf set
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: perturbed system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: singularity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: plaque espansivity conjecture
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On problems of the theory of stability of weakly hyperbolic invariant sets
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 289-296.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17943/1/289-296.pdf
resources.format: Adobe PDF
resources.size: 436,93 kB