title: Generating extremely multistable systems based on Lurie form systems
metadata.name: dc.contributor.author
metadata.value: Burkin, Igor M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kuznetsova, Oksana I.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-12-06T11:18:02Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-12-06T11:18:02Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Burkin I.M., Kuznetsova O. I. Generating extremely multistable systems based on Lurie form systems. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 4, pp. 555–563.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2019.403
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/16740
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Chaotic signals and systems are widely used in image encryption, secure communications,
  weak signal detection and radar systems. In recent years, many researchers have focused on
  the design of systems that have an infinite number of coexisting chaotic attractors. In this article, we propose some approaches to generating self-reproducing systems with an infinite
  number of coexisting self-excited or hidden chaotic attractors with the same Lyapunov exponents,
  based on mathematical models of systems in Lurie form. The proposed approach
  makes it possible to generate extremely multistable systems, using numerous well-known
  examples of the existence of chaotic attractors in systems in Lurie form and without resorting
  to exhaustive computer search. Illustrating the methods proposed in the paper, we
  construct, in particular, extremely multistable systems with a 1-D and 2-D grid of hidden
  chaotic attractors using the generalized Chua system, in which the hidden attractors were
  first discovered by G. А. Leonov and N. V. Kuznetsov.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
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 St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 6 (64); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: dynamic system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: chaos
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: coexisting chaotic attractors
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Lyapunov exponents
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Kaplan -Yorke dimension
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Generating extremely multistable systems based on Lurie form systems
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 555-563.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/16740/1/555-563.pdf
resources.format: Adobe PDF
resources.size: 605,23 kB