Self-organization with small range interactions: equilibria and creation of bipolarity
Mirosław Lachowicz , Henryk Leszczyński , Krzysztof Topolski
AbstractWe 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.
|Journal series||Applied Mathematics and Computation, ISSN 0096-3003, (A 35 pkt)|
|Publication size in sheets||0.5|
|Keywords in English||kinetic equations, integro-differential equations, equilibrium, blow-up, bipolarity|
|Score|| = 35.0, ArticleFromJournal|
= 40.0, ArticleFromJournal
|Publication indicators||= 0; : 2016 = 1.203; : 2017 = 2.3 (2) - 2017=2.108 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.