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

Mirosław Lachowicz, Henryk Leszczyński and Krzysztof A. Topolski

Applied Mathematics and Computation, 2019, vol. 343, issue C, 156-166

Abstract: 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.

Keywords: Kinetic equations; Integro-differential equations; Equilibrium; Blow-up; Bipolarity (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:343:y:2019:i:c:p:156-166

DOI: 10.1016/j.amc.2018.09.050

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