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http://hdl.handle.net/11701/29886
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DC Field | Value | Language |
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dc.contributor.author | Pilyugin, Sergei Yu. | - |
dc.contributor.author | Sabirova, Daria Z. | - |
dc.date.accessioned | 2021-07-16T16:05:23Z | - |
dc.date.available | 2021-07-16T16:05:23Z | - |
dc.date.issued | 2021-06 | - |
dc.identifier.citation | 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. | en_GB |
dc.identifier.other | https://doi.org/10.21638/spbu01.2021.211 | - |
dc.identifier.uri | http://hdl.handle.net/11701/29886 | - |
dc.description.abstract | 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. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 8 (66); Issue 2 | - |
dc.subject | dynamical system | en_GB |
dc.subject | opinion dynamics | en_GB |
dc.subject | bounded confidence | en_GB |
dc.subject | fixed point | en_GB |
dc.subject | stability | en_GB |
dc.title | Dynamics of one continual sociological model | en_GB |
dc.type | Article | en_GB |
Appears in Collections: | Issue 2 |
Files in This Item:
File | Description | Size | Format | |
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317-330.pdf | 316,13 kB | Adobe PDF | View/Open |
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