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Ecosystem models and social balance from a synchronization perspective

Author

Listed:
  • Hannah Weinmann

    (Institut für Mathematik, Universität Würzburg, Emil-Fischer-Strasse 30, Würzburg 97074, Germany)

  • Krzysztof KuÅ‚akowski

    (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)

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.

Suggested Citation

  • Hannah Weinmann & Krzysztof KuÅ‚akowski & Alfio Borzì, 2022. "Ecosystem models and social balance from a synchronization perspective," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-29, May.
    • Handle: RePEc:wsi:ijmpcx:v:33:y:2022:i:05:n:s0129183122500644
    DOI: 10.1142/S0129183122500644
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    Cited by:

    1. Krawczyk, Malgorzata J. & Kułakowski, Krzysztof, 2022. "Structural balance in one time step," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).

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