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General consensus with circular opinion under attractive and repulsive mechanisms

Author

Listed:
  • Shun Gao

    (College of Physics and Electronic Engineering, Sichuan Normal University, Chengdu 610101, P. R. China)

  • Changwei Huang

    (#x2020;School of Computer, Electronics and Information and Guangxi Key Laboratory of Multimedia, Communications and Network Technology, Guangxi University, Nanning 530004, P. R. China)

  • Wenchen Han

    (College of Physics and Electronic Engineering, Sichuan Normal University, Chengdu 610101, P. R. China)

  • Junzhong Yang

    (#x2021;School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China)

Abstract

In this work, we study a nonlocal opinion dynamics in a ring of agents with circular opinion in the presence of both attractive and repulsive mechanisms. We identify three types of consensus in this model, including global consensus, local consensus and chimera consensus. In global consensus, both local agreement among adjacent agents and global agreement among all agents are achieved. In local consensus, local agreement is satisfied but global agreement fails. There are two domains in chimera consensus, one preserves local agreement and the other breaks the local agreement. The relation between the opinion difference between adjacent agents and the interaction radius is investigated and a scaling law is found. The transitions between local consensus and chimera consensus are exemplified.

Suggested Citation

  • Shun Gao & Changwei Huang & Wenchen Han & Junzhong Yang, 2020. "General consensus with circular opinion under attractive and repulsive mechanisms," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(05), pages 1-11, March.
    • Handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:05:n:s0129183120500680
    DOI: 10.1142/S0129183120500680
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    Citations

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    Cited by:

    1. Han, Wenchen & Gao, Shun & Huang, Changwei & Yang, Junzhong, 2022. "Non-consensus states in circular opinion model with repulsive interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    2. Huang, Changwei & Hou, Yongzhao & Han, Wenchen, 2023. "Coevolution of consensus and cooperation in evolutionary Hegselmann–Krause dilemma with the cooperation cost," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    3. Huang, Changwei & Bian, Huanyu & Han, Wenchen, 2024. "Breaking the symmetry neutralizes the extremization under the repulsion and higher order interactions," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

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