On Synchronization in Dynamical Hyper-networks
Anirban Banerjee, Samiron Parui · arXiv (Cornell University) · 2020
Here we study synchronization in dynamical hyper-networks which are represented by hypergraphs. Diffusion matrices associated to hypergraphs are constructed. Discrete-time and continuous-time dynamical (weighted and un-weighted) hyper-network models are proposed. Sufficient conditions for synchronization in dynamical hyper-networks are derived. Some of them contain structural properties of the underlying hypergraphs. Numerical examples are given to illustrate the theoretical results.