CSDC Seminar - Higher-order network interactions for synchronization dynamics and beyond (Chris Bick)

Nonpairwise "higher-order" network interactions can shape the collective network dynamics of interacting nodes. But what is the right "higher-order" object to encode these interactions? For examples of synchronization and heteroclinic dynamics, we start with the dynamical phenomenon and give conditions what type of higher-order interactions are required for the dynamics to arise. This highlights limitations of
using classical hypergraphs to model higher-order interactions.