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 …

Relay synchronization in multiplex networks

I Leyva, I Sendiña-Nadal, R Sevilla-Escoboza… - Scientific reports, 2018 - nature.com
Relay (or remote) synchronization between two not directly connected oscillators in a
network is an important feature allowing distant coordination. In this work, we report a …

On the relay coupling of three fractional-order oscillators with time-delay consideration: Global and cluster synchronizations

R Kengne, R Tchitnga, S Mabekou, BRW Tekam… - Chaos, Solitons & …, 2018 - Elsevier
The relay coupling of three fractional-order two-stage oscillators in the presence of time
delay has been explored theoretically, numerically and analogically. The global stabilization …

Relay and complete synchronization in heterogeneous multiplex networks of chaotic maps

E Rybalova, G Strelkova, E Schöll… - … Journal of Nonlinear …, 2020 - pubs.aip.org
We study relay and complete synchronization in a heterogeneous triplex network of discrete-
time chaotic oscillators. A relay layer and two outer layers, which are not directly coupled but …

[KNIHA][B] Essentials of Nonlinear Circuit Dynamics with MATLAB® and Laboratory Experiments

A Buscarino, L Fortuna, M Frasca - 2017 - books.google.com
This book deals with nonlinear dynamics of electronic circuits, which could be used in robot
control, secure communications, sensors and synchronized networks. The genesis of the …

Synchronization of two Rössler systems with switching coupling

A Buscarino, M Frasca, M Branciforte, L Fortuna… - Nonlinear …, 2017 - Springer
In this paper, we study a system of two Rössler oscillators coupled through a time-varying
link, periodically switching between two values. We analyze the system behavior with …

Inhomogeneity induces relay synchronization in complex networks

LV Gambuzza, M Frasca, L Fortuna, S Boccaletti - Physical Review E, 2016 - APS
Relay synchronization is a collective state, originally found in chains of interacting
oscillators, in which uncoupled dynamical units synchronize through the action of …

Amplitude death induced by mixed attractive and repulsive coupling in the relay system

N Zhao, Z Sun, W Xu - The European Physical Journal B, 2018 - Springer
The amplitude death (AD) phenomenon is found in the relay system in the presence of the
mixed couplings composed of attractive coupling and repulsive coupling. The generation …

Multistability analysis and function projective synchronization in relay coupled oscillators

A Taher Azar, NM Adele, KS Tewa Alain… - …, 2018 - Wiley Online Library
Regions of stability phases discovered in a general class of Genesio− Tesi chaotic
oscillators are proposed. In a relatively large region of two‐parameter space, the system has …

[PDF][PDF] Across neurons and silicon: Some experiments regarding the pervasiveness of nonlinear phenomena

L Minati - Acta Phys. Pol. B, 2018 - webapps.unitn.it
The nonlinear dynamics of neurons can be viewed as the substrate through which the vastity
of mental states and processes making up our subjective experience emerges from the brain …