4 papers
Topological measures in weighted hypergraphs
Ekaterina Vasilyeva, Liubov Tupikina, Daniil Musatov +3
Higher-order interactions introduce an additional structural dimension to complex networks, requiring consistent generalizations of classical topological measures. In hypergraphs,…
Equitability and explosive synchronisation in multiplex and higher-order networks
Kirill Kovalenko, Gonzalo Contreras-Aso, Charo I. del Genio +2
Cluster synchronisation is a key phenomenon observed in networks of coupled dynamical units. Its presence has been linked to symmetry and, more generally, to equability of the unde…
Solitary states in spiking oscillators with higher-order interactions
Vladimir V. Semenov, Subhasanket Dutta, Stefano Boccaletti +3
We study a system of globally coupled FitzHugh-Nagumo oscillators, showing that the presence of higher-order interactions affects the character of the transition between synchronou…
Reconstructing simplicial complexes from evolutionary games
Yin-Jie Ma, Zhi-Qiang Jiang, Fanshu Fang +2
In distributed systems, knowledge of the network structure of the connections among the unitary components is often a requirement for an accurate prediction of the emerging collect…