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 Kuramoto model in complex networks

FA Rodrigues, TKDM Peron, P Ji, J Kurths - Physics Reports, 2016 - Elsevier
Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

[ΒΙΒΛΙΟ][B] Lectures on network systems

Topics These lecture notes are intended primarily for graduate students interested in
network systems, distributed algorithms, and cooperative control. The objective is to answer …

Synchronization control for a class of discrete time-delay complex dynamical networks: A dynamic event-triggered approach

Q Li, B Shen, Z Wang, T Huang… - IEEE transactions on …, 2018 - ieeexplore.ieee.org
This paper is concerned with the synchronization control problem for a class of discrete time-
delay complex dynamical networks under a dynamic event-triggered mechanism. For the …

Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review

C Bick, M Goodfellow, CR Laing… - The Journal of …, 2020 - Springer
Many biological and neural systems can be seen as networks of interacting periodic
processes. Importantly, their functionality, ie, whether these networks can perform their …

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 …

Intermittent control for fixed-time synchronization of coupled networks

Y Wu, Z Sun, G Ran, L Xue - IEEE/CAA Journal of Automatica …, 2023 - ieeexplore.ieee.org
Dear Editor, This letter deals with fixed-time synchronization (Fd-TS) of complex networks
(CNs) under aperiodically intermittent control (AIC) for the first time. The average control rate …

Electrical networks and algebraic graph theory: Models, properties, and applications

F Dörfler, JW Simpson-Porco… - Proceedings of the IEEE, 2018 - ieeexplore.ieee.org
Algebraic graph theory is a cornerstone in the study of electrical networks ranging from
miniature integrated circuits to continental-scale power systems. Conversely, many …

Explosive phenomena in complex networks

RM D'Souza, J Gómez-Gardenes, J Nagler… - Advances in …, 2019 - Taylor & Francis
The emergence of large-scale connectivity and synchronization are crucial to the structure,
function and failure of many complex socio-technical networks. Thus, there is great interest …

Synthesizing virtual oscillators to control islanded inverters

BB Johnson, M Sinha, NG Ainsworth… - … on Power Electronics, 2015 - ieeexplore.ieee.org
Virtual oscillator control (VOC) is a decentralized control strategy for islanded microgrids
where inverters are regulated to emulate the dynamics of weakly nonlinear oscillators …