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 …

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 …

Spatial networks

M Barthélemy - Physics reports, 2011 - Elsevier
Complex systems are very often organized under the form of networks where nodes and
edges are embedded in space. Transportation and mobility networks, Internet, mobile phone …

Synchronization in complex networks

A Arenas, A Díaz-Guilera, J Kurths, Y Moreno, C Zhou - Physics reports, 2008 - Elsevier
Synchronization processes in populations of locally interacting elements are the focus of
intense research in physical, biological, chemical, technological and social systems. The …

Graph theoretical analysis of complex networks in the brain

CJ Stam, JC Reijneveld - Nonlinear biomedical physics, 2007 - Springer
Since the discovery of small-world and scale-free networks the study of complex systems
from a network perspective has taken an enormous flight. In recent years many important …

Adaptive coevolutionary networks: a review

T Gross, B Blasius - Journal of the Royal Society …, 2008 - royalsocietypublishing.org
Adaptive networks appear in many biological applications. They combine topological
evolution of the network with dynamics in the network nodes. Recently, the dynamics of …

Synchronization reveals topological scales in complex networks

A Arenas, A Díaz-Guilera, CJ Pérez-Vicente - Physical review letters, 2006 - APS
We study the relationship between topological scales and dynamic time scales in complex
networks. The analysis is based on the full dynamics towards synchronization of a system of …

Distributed consensus with limited communication data rate

T Li, M Fu, L **e, JF Zhang - IEEE Transactions on Automatic …, 2010 - ieeexplore.ieee.org
Communication data rate and energy constraints are important factors which have to be
considered when investigating distributed coordination of multi-agent networks. Although …

The application of graph theoretical analysis to complex networks in the brain

JC Reijneveld, SC Ponten, HW Berendse… - Clinical neurophysiology, 2007 - Elsevier
Considering the brain as a complex network of interacting dynamical systems offers new
insights into higher level brain processes such as memory, planning, and abstract reasoning …