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Extending Opinion Changing Rate model to world of higher order interactions

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  • Jha, Aarya
  • Singh, Anurag
  • Singhal, Ankur Kumar
  • Pandey, Pradumn Kumar

Abstract

Kuramoto models have emerged as a versatile and fascinating class of oscillator dynamics models. These models can also be adapted to social contexts, enabling the study of opinion propagation dynamics and synchronization, as exemplified by the Opinion Changing Rate (OCR) model. The original OCR model, however, only accounted for point-to-point interactions between nodes, limiting its ability to capture various real-world phenomena. In the paper, the OCR model is extended to incorporate higher-order interactions, achieved by utilizing simplicial complexes as the underlying mathematical framework. Two scenarios were examined: first, where an individual’s opinion within a complex is influenced by the aggregate opinions of the simplices to which they belong, and second, where the opinion of an n-order simplex depends on its adjacent (n+1)- and (n−1)-order simplices. Further, analyze the synchronization within systems defined by proposed approaches, exploring the implications of incorporating the higher-order interactions.

Suggested Citation

  • Jha, Aarya & Singh, Anurag & Singhal, Ankur Kumar & Pandey, Pradumn Kumar, 2026. "Extending Opinion Changing Rate model to world of higher order interactions," Chaos, Solitons & Fractals, Elsevier, vol. 204(C).
    • Handle: RePEc:eee:chsofr:v:204:y:2026:i:c:s0960077925016674
    DOI: 10.1016/j.chaos.2025.117654
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