title: On the Recent Progress in Effective Dimension Estimates for Delay Equations
metadata.name: dc.contributor.author
metadata.value: Anikushin, Mikhail Mikhailovich
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Romanov, Andrey Olegovich
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-12-02T12:54:26Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-12-02T12:54:26Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-03
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2024.103
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/48038
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We discuss the recent progress on studying volume contraction for linear cocycles generated by delay equations obtained by the authors. On the basis, we use adapted metrics constructed explicitly or via the Frequency Theorem. In contrast to many existing results, this approach allows to provide effective estimates in terms of the system parameters (including delays). We illustrate the exposed general results by means of the nonautonomous and classical Nicholson blowflies models, where effective dimension estimates for global attractors and robust conditions for the global stability are obtained.
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 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: Delay equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Volume contraction
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Dimension estimates
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Global stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Nicholson blowflies
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the Recent Progress in Effective Dimension Estimates for Delay Equations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 24103-jdecp-anikushin.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/48038/1/24103-jdecp-anikushin.pdf
resources.format: Adobe PDF
resources.size: 852,01 kB