Self-organization with small range interactions: equilibria and creation of bipolarity

Mirosław Lachowicz , Henryk Leszczyński , Krzysztof Topolski


We study a kinetic equation which describes self-organization of various complex systems, assuming the interacting rate with small support. This corresponds to interactions between an agent with a given internal state and agents having short distance states only. We identify all possible stationary (equilibrium) solutions and describe the possibility of creating of bipolar (bimodal) distribution that is able to capture interesting behavior in modeling systems, e.g. in political sciences.
Author Mirosław Lachowicz
Mirosław Lachowicz,,
, Henryk Leszczyński (FMPI / IM)
Henryk Leszczyński,,
- Institute of Mathematics
, Krzysztof Topolski
Krzysztof Topolski,,
Journal seriesApplied Mathematics and Computation, ISSN 0096-3003, (A 35 pkt)
Issue year2019
Publication size in sheets0.5
Keywords in Englishkinetic equations, integro-differential equations, equilibrium, blow-up, bipolarity
Languageen angielski
Score (nominal)40
ScoreMinisterial score = 35.0, 15-10-2018, ArticleFromJournal
Ministerial score (2013-2016) = 40.0, 15-10-2018, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 1.738 (2) - 2016=1.702 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.