Hypergraphs

Modelling Non-Linear Consensus Dynamics on Hypergraphs

In this paper, we explore the non-linear dynamics of consensus on hypergraphs, extending the previously introduced three-body consensus model (3CM) to hyperedges of any cardinality.

Opinion Dynamics with Multi-Body Interactions

In this conference paper, we introduce and analyse a three-body consensus model (3CM) for non-linear consensus dynamics on hypergraphs.

Multibody interactions and nonlinear consensus dynamics on networked systems

In this work, we derive and analyze models for consensus dynamics on hypergraphs, where nodes interact in groups rather than in pairs. Our work reveals that multibody dynamical effects that go beyond rescaled pairwise interactions can appear only if the interaction function is nonlinear.

Higher-order networks

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. In this collection of papers, we derive and analyse models for consensus dynamics on hypergraphs, where nodes interact in groups rather than in pairs.