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 …

[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 …

[HTML][HTML] Random walks and diffusion on networks

N Masuda, MA Porter, R Lambiotte - Physics reports, 2017 - Elsevier
Random walks are ubiquitous in the sciences, and they are interesting from both theoretical
and practical perspectives. They are one of the most fundamental types of stochastic …

Higher order interactions in complex networks of phase oscillators promote abrupt synchronization switching

PS Skardal, A Arenas - Communications Physics, 2020 - nature.com
Synchronization processes play critical roles in the functionality of a wide range of both
natural and man-made systems. Recent work in physics and neuroscience highlights the …

Stability of synchronization in simplicial complexes

LV Gambuzza, F Di Patti, L Gallo, S Lepri… - Nature …, 2021 - nature.com
Various systems in physics, biology, social sciences and engineering have been
successfully modeled as networks of coupled dynamical systems, where the links describe …

Abrupt desynchronization and extensive multistability in globally coupled oscillator simplexes

PS Skardal, A Arenas - Physical review letters, 2019 - APS
Collective behavior in large ensembles of dynamical units with nonpairwise interactions may
play an important role in several systems ranging from brain function to social networks …

Explosive transitions in complex networks' structure and dynamics: Percolation and synchronization

S Boccaletti, JA Almendral, S Guan, I Leyva, Z Liu… - Physics Reports, 2016 - Elsevier
Percolation and synchronization are two phase transitions that have been extensively
studied since already long ago. A classic result is that, in the vast majority of cases, these …

The new field of network physiology: building the human physiolome

PC Ivanov - Frontiers in network physiology, 2021 - frontiersin.org
The human organism comprises various physiological and organ systems, each with its own
structural organization and functional complexity, leading to complex, transient, fluctuating …

Synchronization in chaotic systems

LM Pecora, TL Carroll - Physical review letters, 1990 - APS
Synchronization in chaotic systems Page 1 VOLUME 64, NUMBER 8 PHYSICAL REVIEW
LETTERS 19 FEBRUARY 1990 Synchronization in Chaotic Systems Louis M. Pecora and …

Dynamical systems on networks

MA Porter, JP Gleeson - Frontiers in Applied Dynamical Systems: Reviews …, 2016 - Springer
Traditionally, much of the study of networks has focused on structural features. Indeed,
mathematical subjects such as graph theory have a rich history of investigating network …