title: Methods of Nonhyperbolic Shadowing
metadata.name: dc.contributor.author
metadata.value: Pilyugin, Sergei Yu.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-10-06T14:00:41Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-10-06T14:00:41Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-09
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2023.301
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44136
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This paper is a survey of some recent results giving sufficient conditions of shadowing for dynamical systems in the absence of hyperbolicity. The main topics of the survey are as follows: method of pairs of Lyapunov type functions, shadowing in a neighborhood of a nonisolated fixed point, conditional multiscale shadowing for sequences of mappings of a Banach space, conditional shadowing for dynamical systems on so-called simple time scales. The paper contains a new result on conditional multiscale shadowing in the case of an infinite family of projections of the phase space.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The research of the author was supported by the Russian Science Foundation, grant no.23-21-00025, https://rscf.ru/project/23-21-00025/
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
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: Differential Equations and Control Processes;Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: dynamical system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: hyperbolicity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: pseudotrajectory
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: shadowing
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Methods of Nonhyperbolic Shadowing
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 1-21.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44136/1/1-21.pdf
resources.format: Adobe PDF
resources.size: 258,92 kB