Hypergraphs

In this preprint, we investigate consensus dynamics on temporal hypergraphs that encode network systems with time-dependent, multi-way interactions.

In this chapter, we derive and analyse models for 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.

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

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.

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.