Dynamics

Multistability, intermittency and hybrid transitions in social contagion models on hypergraphs

Although ubiquitous, interactions of groups of individuals (e.g., modern messaging applications, group meetings, or even a parliament discussion) are not yet thoroughly studied. Frequently, single-groups are modeled as critical-mass dynamics, which …

Influential groups for seeding and sustaining nonlinear contagion in heterogeneous hypergraphs

Several biological and social contagion phenomena, such as superspreading events or social reinforcement, are the results of multi-body interactions, for which hypergraphs offer a natural mathematical description. In this paper, we develop a novel …

Social contagion models on hypergraphs

Here we study the dynamics of social contagion on hypergraphs. We develop an analytical framework and provide numerical results for arbitrary hypergraphs, which we also support with Monte Carlo simulations. We show that the model has a vast parameter space, with first- and second-order transitions, bistability, and hysteresis.