title: Computer-oriented Tests for Hyperbolicity and Structural Stability of Dynamical System
metadata.name: dc.contributor.author
metadata.value: Osipenko, George
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-10-06T14:10:25Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-10-06T14:10:25Z
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/spbu35.2023.302
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44137
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A diffeomorphism f is hyperbolic on a chain-recurrent set if the Morse spectrum does not contain zero. The symbolic image is a directed graph approximating a dynamical system. The chain-recurrent set is localized using this graph. The symbolic image of the differential allows us to estimate the Morse spectrum. A diffeomorphism f is structurally stable if the dual differential has only trivial bounded trajectories. The symbolic image of the dual differential makes it possible to check the absence of bounded trajectories of the dual differential.
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: adjacency matrix
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: chain-recurrent set
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: directed graph
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: extreme cycle
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: invariant decomposition
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Lyapunov exponent
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: projective bundle
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: pseudotrajectory
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: strong component
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Computer-oriented Tests for Hyperbolicity and Structural Stability of Dynamical System
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 22-50.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44137/1/22-50.pdf
resources.format: Adobe PDF
resources.size: 706,38 kB