The physics of higher-order interactions in complex systems

F Battiston, E Amico, A Barrat, G Bianconi… - Nature Physics, 2021 - nature.com
Complex networks have become the main paradigm for modelling the dynamics of
interacting systems. However, networks are intrinsically limited to describing pairwise …

Dynamics on higher-order networks: A review

S Majhi, M Perc, D Ghosh - Journal of the Royal Society …, 2022 - royalsocietypublishing.org
Network science has evolved into an indispensable platform for studying complex systems.
But recent research has identified limits of classical networks, where links connect pairs of …

[HTML][HTML] Networks beyond pairwise interactions: Structure and dynamics

F Battiston, G Cencetti, I Iacopini, V Latora, M Lucas… - Physics reports, 2020 - Elsevier
The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …

The structure and dynamics of networks with higher order interactions

S Boccaletti, P De Lellis, CI Del Genio, K Alfaro-Bittner… - Physics Reports, 2023 - Elsevier
All beauty, richness and harmony in the emergent dynamics of a complex system largely
depend on the specific way in which its elementary components interact. The last twenty-five …

What are higher-order networks?

C Bick, E Gross, HA Harrington, MT Schaub - SIAM Review, 2023 - SIAM
Network-based modeling of complex systems and data using the language of graphs has
become an essential topic across a range of different disciplines. Arguably, this graph-based …

[BOOK][B] Higher-order networks

G Bianconi - 2021 - cambridge.org
Higher-order networks describe the many-body interactions of a large variety of complex
systems, ranging from the the brain to collaboration networks. Simplicial complexes are …

Neuroscience needs network science

DL Barabási, G Bianconi, E Bullmore… - Journal of …, 2023 - Soc Neuroscience
The brain is a complex system comprising a myriad of interacting neurons, posing significant
challenges in understanding its structure, function, and dynamics. Network science has …

Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes

Y Zhang, M Lucas, F Battiston - Nature communications, 2023 - nature.com
Higher-order networks have emerged as a powerful framework to model complex systems
and their collective behavior. Going beyond pairwise interactions, they encode structured …

Synchronization in Hindmarsh–Rose neurons subject to higher-order interactions

F Parastesh, M Mehrabbeik, K Rajagopal… - … Journal of Nonlinear …, 2022 - pubs.aip.org
Higher-order interactions might play a significant role in the collective dynamics of the brain.
With this motivation, we here consider a simplicial complex of neurons, in particular …

The why, how, and when of representations for complex systems

L Torres, AS Blevins, D Bassett, T Eliassi-Rad - SIAM Review, 2021 - SIAM
Complex systems, composed at the most basic level of units and their interactions, describe
phenomena in a wide variety of domains, from neuroscience to computer science and …