title: Characteristic polynomials for a cycle of non-linear discrete systems with time delays
metadata.name: dc.contributor.author
metadata.value: Khamitova, Anna D.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-02-09T09:32:22Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-02-09T09:32:22Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Khamitova A. D. Characteristic polynomials for a cycle of non-linear discrete systems with time delays. Vestnik of Saint Petersburg University. Series 10. Applied mathematics. Computer science. Control processes, 2016, issue 4, pp. 104–115.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu10.2016.410
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6001
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We study a method associated with constructing of delayed feedback for local stabilization
  of periodic orbits of nonlinear discrete systems. An alternative approach to the construction
  of characteristic polynomial for the delay system linearized in the neighborhood of T-cycle is
  suggested. It is proven that our new alternative approach is equivalent to the standard one,
  however, it allows us to produce directly new forms of polynomials. These forms are convenient
  in applications to the problems of chaos control and allow us to apply methods of geometric
  complex function theory. This article is an extension of the results, which received D. Dmitrishin,
  P. Haglstein, A. Khamitova and A. Stokolos to the vector case. Refs 6. Fig 1.
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: Vestnik of Saint Petersburg University. Series 10. Applied Mathematics. Computer Science. Control Processes;Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: Non-linear systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic stability of cycles
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: DFC methods
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Characteristic polynomials for a cycle of non-linear discrete systems with time delays
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 10-Khamitova.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6001/1/10-Khamitova.pdf
resources.format: Adobe PDF
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