title: Dynamics of one continual sociological model
metadata.name: dc.contributor.author
metadata.value: Pilyugin, Sergei Yu.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Sabirova, Daria Z.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-07-16T16:05:23Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-07-16T16:05:23Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Pilyugin S.Yu., Sabirova D. Z. Dynamics of one continual sociological model. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 2, pp. 317–330.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2021.211
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/29886
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, we study a dynamical system modeling an iterative process of choice in a
  group of agents between two possible results. The studied model is based on the principle
  of bounded confidence introduced by Hegselmann and Krause. According to this principle, at each step of the process, any agent chaqnges his/her opinion being influenced by agents
  with close opinions. The resulting dynamical system is nonlinear and discontinuous. The
  principal novelty of the model studied in this paper is that we consider not a finite but an
  infinite (continual) group of agents. Such an approach requires application of essentially
  new methods of research. The structure of possible fixed points of the appearing dynamical
  system is described, their stability is studied. It is shown that any trajectory tends to a
  fixed point.
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 8 (66); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: dynamical system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: opinion dynamics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: bounded confidence
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: fixed point
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stability
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Dynamics of one continual sociological model
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 317-330.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/29886/1/317-330.pdf
resources.format: Adobe PDF
resources.size: 316,13 kB