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 …

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 …

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 …

Complex networks: Structure and dynamics

S Boccaletti, V Latora, Y Moreno, M Chavez… - Physics reports, 2006‏ - Elsevier
Coupled biological and chemical systems, neural networks, social interacting species, the
Internet and the World Wide Web, are only a few examples of systems composed by a large …

Long-term prediction of chaotic systems with machine learning

H Fan, J Jiang, C Zhang, X Wang, YC Lai - Physical Review Research, 2020‏ - APS
Reservoir computing systems, a class of recurrent neural networks, have recently been
exploited for model-free, data-based prediction of the state evolution of a variety of chaotic …

[كتاب][B] Dynamical processes on complex networks

A Barrat, M Barthelemy, A Vespignani - 2008‏ - books.google.com
The availability of large data sets has allowed researchers to uncover complex properties
such as large-scale fluctuations and heterogeneities in many networks, leading to the …

Master stability functions for synchronized coupled systems

LM Pecora, TL Carroll - Physical review letters, 1998‏ - APS
We show that many coupled oscillator array configurations considered in the literature can
be put into a simple form so that determining the stability of the synchronous state can be …

The synchronization of chaotic systems

S Boccaletti, J Kurths, G Osipov, DL Valladares… - Physics reports, 2002‏ - Elsevier
Synchronization of chaos refers to a process wherein two (or many) chaotic systems (either
equivalent or nonequivalent) adjust a given property of their motion to a common behavior …

[HTML][HTML] Synchronization of chaotic systems

LM Pecora, TL Carroll - Chaos: An Interdisciplinary Journal of …, 2015‏ - pubs.aip.org
We review some of the history and early work in the area of synchronization in chaotic
systems. We start with our own discovery of the phenomenon, but go on to establish the …

Synchronization in small-world systems

M Barahona, LM Pecora - Physical review letters, 2002‏ - APS
We quantify the dynamical implications of the small-world phenomenon by considering the
generic synchronization of oscillator networks of arbitrary topology. The linear stability of the …