Dynamics on Networks with Higher-Order Interactions
The study of dynamical systems on networks relies on the assumption that interactions occur only between pairs of nodes. In many situations, however, interactions between multiple nodes can’t be reduced to pairwise interactions, and new descriptions are required. This Focus Issue covers recent developments in the study of dynamical systems on hypergraphs and simplicial complexes, the structures that encode these higher-order interactions. Articles in this Focus Issue cover both specific applications such as synchronization and epidemic spreading, and characterizations of the structure of higher-order interactions relevant to dynamical processes.
Topics covered include, but are not limited to:
- Dynamical processes on hypergraphs
- Simplicial complexes
- Synchronization
- Contagions
- Random walks
- Evolutionary games
- Tipping points
- Emergent behavior
- Data-driving modeling
- Time series
Guest Editors
Heather Harrington (University of Oxford, UK)
Juan Restrepo (University of Colorado, Boulder, USA)
Dane Taylor (University at Buffalo, USA)
Zhongke Gao (Tianjin University, China)
Dibakar Ghosh (Indian Statistical Institute, India)