Modelling Non-Linear Consensus Dynamics on Hypergraphs

  • The basic interaction unit of many dynamical systems involves more than two nodes. In such situations where networks are not an appropriate modelling framework, it has recently become increasingly popular to turn to higher-order models, including hypergraphs. In this paper, we explore the non-linear dynamics of consensus on hypergraphs, allowing for interactions within hyperedges of any cardinality. After discussing the different ways in which non-linearities can be incorporated in the dynamical model, building on different sociological theories, we explore its mathematical properties and perform simulations to investigate them numerically. After focussing on synthetic hypergraphs, namely on block hypergraphs, we investigate the dynamics on real-world structures, and explore in detail the role of involvement and stubbornness on polarisation.

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Metadaten
Document Type:Working Paper
Language:English
Author(s):Rohit Sahasrabuddhe, Leonie Neuhäuser, Renaud Lambiotte
Parent Title (English):Physics and Society
Publication year:2020
Publishing Institution:Hertie School
Related URL:https://arxiv.org/abs/2007.09391
Release Date:2020/11/10
Edition:arXiv:2007.09391v1 [physics.soc-ph] 18 Jul 2020
Hertie School Research:Publications PhD Researchers
Licence of document (German):Metadaten / metadata
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