title: Calculation of the Invariant Decomposition of the Tangent Space
metadata.name: dc.contributor.author
metadata.value: Osipenko, Georgii Sergeevich
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Andreeva, Irina Alexeevna
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-12-02T17:49:25Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-12-02T17:49:25Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-09
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2024.307
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/48060
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A discrete dynamic system generated by a diffeomorphism is considered. The task of constructing an invariant decomposition of the tangent space is set. This task is reduced to calculating the components of a chain recurrent set on a projective bundle. A computer-oriented tool for such a calculation is a symbolic image of a dynamic system, which is an oriented graph. The components of the chain recurrent set are determined by calculating the components of the strong connectivity of the symbolic image. A nontrivial example of calculating the desired tangent space decomposition is given.
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: discrete dynamic system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: tangent space
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: invariant decomposition
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: chain recurrent trajectories
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: limit sets
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: projective space
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: symbolic image
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: localization algorithm
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Calculation of the Invariant Decomposition of the Tangent Space
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 24307-jdecp-osipenko.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/48060/1/24307-jdecp-osipenko.pdf
resources.format: Adobe PDF
resources.size: 701,18 kB