Effects of degree correlations on the explosive synchronization of scale-free networks

I Sendiña-Nadal, I Leyva, A Navas… - Physical Review E, 2015 - APS
We study the organization of finite-size, large ensembles of phase oscillators networking via
scale-free topologies in the presence of a positive correlation between the oscillators' …

Explosive synchronization with asymmetric frequency distribution

W Zhou, L Chen, H Bi, X Hu, Z Liu, S Guan - Physical Review E, 2015 - APS
In this work, we study the synchronization in a generalized Kuramoto model with frequency-
weighted coupling. In particular, we focus on the situations in which the frequency …

Effects of assortative mixing in the second-order Kuramoto model

TKDM Peron, P Ji, FA Rodrigues, J Kurths - Physical Review E, 2015 - APS
In this paper we analyze the second-order Kuramoto model in the presence of a positive
correlation between the heterogeneity of the connections and the natural frequencies in …

Explosive synchronization-based brain modulation reduces hypersensitivity in the brain network: A computational model study

MK Kim, RE Harris, AF DaSilva, UC Lee - Frontiers in Computational …, 2022 - frontiersin.org
Fibromyalgia (FM) is a chronic pain condition that is characterized by hypersensitivity to
multimodal sensory stimuli, widespread pain, and fatigue. We have previously proposed …

Explosive synchronization: From synthetic to real-world networks

A Bayani, S Jafari, H Azarnoush - Chinese Physics B, 2022 - iopscience.iop.org
Synchronization is a widespread phenomenon in both synthetic and real-world networks.
This collective behavior of simple and complex systems has been attracting much research …

Explosive synchronization with partial degree-frequency correlation

RS Pinto, A Saa - Physical Review E, 2015 - APS
Networks of Kuramoto oscillators with a positive correlation between the oscillators
frequencies and the degree of their corresponding vertices exhibit so-called explosive …

Effective centrality and explosive synchronization in complex networks

A Navas, JA Villacorta-Atienza, I Leyva, JA Almendral… - Physical Review E, 2015 - APS
Synchronization of networked oscillators is known to depend fundamentally on the interplay
between the dynamics of the graph's units and the microscopic arrangement of the network's …

Explosive synchronization caused by optimizing synchrony of coupled phase oscillators on complex networks

W Chen, S Wang, Y Lan, W Liu, J Xiao - The European Physical Journal B, 2021 - Springer
We optimize synchrony in networks of heterogeneous phase oscillators. By analyzing the
eigenvalues of the Jacobian matrix at full synchronization, two structure indicators related to …

[HTML][HTML] Synchrony-optimized networks of Kuramoto oscillators with inertia

RS Pinto, A Saa - Physica A: Statistical Mechanics and its Applications, 2016 - Elsevier
We investigate synchronization in networks of Kuramoto oscillators with inertia. More
specifically, we introduce a rewiring algorithm consisting basically in a hill climb scheme in …

Transition to synchronization in heterogeneous inhibitory neural networks with structured synapses

E Urdapilleta - Chaos: An Interdisciplinary Journal of Nonlinear …, 2021 - pubs.aip.org
Inhibitory neurons form an extensive network involved in the development of different
rhythms in the cerebral cortex. A transition from an incoherent state, where all inhibitory …