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 …

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 …

Controllability of complex networks

YY Liu, JJ Slotine, AL Barabási - nature, 2011 - nature.com
The ultimate proof of our understanding of natural or technological systems is reflected in
our ability to control them. Although control theory offers mathematical tools for steering …

Control principles of complex systems

YY Liu, AL Barabási - Reviews of Modern Physics, 2016 - APS
A reflection of our ultimate understanding of a complex system is our ability to control its
behavior. Typically, control has multiple prerequisites: it requires an accurate map of the …

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 …

Exact controllability of complex networks

Z Yuan, C Zhao, Z Di, WX Wang, YC Lai - Nature communications, 2013 - nature.com
Controlling complex networks is of paramount importance in science and engineering.
Despite the recent development of structural controllability theory, we continue to lack a …

On submodularity and controllability in complex dynamical networks

TH Summers, FL Cortesi… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
Controllability and observability have long been recognized as fundamental structural
properties of dynamical systems, but have recently seen renewed interest in the context of …

Quasi-synchronization of heterogeneous dynamic networks via distributed impulsive control: Error estimation, optimization and design

W He, F Qian, J Lam, G Chen, QL Han, J Kurths - Automatica, 2015 - Elsevier
This paper studies leader–follower synchronization in heterogeneous dynamic networks via
distributed impulsive control. The goal is to drive the followers to approximately synchronize …

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 …

Data based identification and prediction of nonlinear and complex dynamical systems

WX Wang, YC Lai, C Grebogi - Physics Reports, 2016 - Elsevier
The problem of reconstructing nonlinear and complex dynamical systems from measured
data or time series is central to many scientific disciplines including physical, biological …