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 …

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 …

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 …

Adaptive dynamical networks

R Berner, T Gross, C Kuehn, J Kurths, S Yanchuk - Physics Reports, 2023 - Elsevier
It is a fundamental challenge to understand how the function of a network is related to its
structural organization. Adaptive dynamical networks represent a broad class of systems that …

The synchronized dynamics of time-varying networks

D Ghosh, M Frasca, A Rizzo, S Majhi, S Rakshit… - Physics Reports, 2022 - Elsevier
Over the past two decades, complex network theory provided the ideal framework for
investigating the intimate relationships between the topological properties characterizing the …

[HTML][HTML] 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 multiplex networks

X Wu, X Wu, CY Wang, B Mao, J Lu, J Lü, YC Zhang… - Physics Reports, 2024 - Elsevier
Synchronization in a network of connected elements is essential to the proper functioning of
both natural and engineered systems and is thus of increasing interest across disciplines. In …

Epidemic spreading on higher-order networks

W Wang, Y Nie, W Li, T Lin, MS Shang, S Su, Y Tang… - Physics Reports, 2024 - Elsevier
Gathering events, eg, going to gyms and meetings, are ubiquitous and crucial in the
spreading phenomena, which induce higher-order interactions, and thus can be described …

Controlling complex networks with complex nodes

RM D'Souza, M di Bernardo, YY Liu - Nature Reviews Physics, 2023 - nature.com
Real-world networks often consist of millions of heterogenous elements that interact at
multiple timescales and length scales. The fields of statistical physics and control theory both …

[HTML][HTML] Higher-order motif analysis in hypergraphs

QF Lotito, F Musciotto, A Montresor… - Communications …, 2022 - nature.com
A deluge of new data on real-world networks suggests that interactions among system units
are not limited to pairs, but often involve a higher number of nodes. To properly encode …