Ecosystem models and social balance from a synchronization perspective

Hannah Weinmann (), Krzysztof Kułakowski () and Alfio Borzì
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Hannah Weinmann: Institut für Mathematik, Universität Würzburg, Emil-Fischer-Strasse 30, Würzburg 97074, Germany
Krzysztof Kułakowski: Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, Krakòw, PL-30059, Poland
Alfio Borzì: Institut für Mathematik, Universität Würzburg, Emil-Fischer-Strasse 30, Würzburg 97074, Germany

International Journal of Modern Physics C (IJMPC), 2022, vol. 33, issue 05, 1-29

Abstract: In this paper, a connection between Heider social balance theory and synchronization patterns of a triad of oscillators is investigated. It is shown that the Heider and Kuramoto diagrams can be identified in a way that is consistent with the interpretation of cognitive states in Heider’s theory and with the behavior of coexisting species in a network of ecosystems. While most of this work focuses on networks with predefined fixed couplings, a preliminary investigation of an evolution model for the links of the network is presented, where a universal order parameter allows to formulate a feedback of the status of the oscillators to the coupling links.

Keywords: Heider social balance; Kuramoto oscillators; consumer-resource models; network of oscillators; synchronization (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0129183122500644

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