Complex networks with complex weights

L Böttcher, MA Porter - Physical Review E, 2024 - APS
In many studies, it is common to use binary (ie, unweighted) edges to examine networks of
entities that are either adjacent or not adjacent. Researchers have generalized such binary …

Unveiling explosive vulnerability of networks through edge collective behavior

P Peng, T Fan, XL Ren, L Lü - arXiv preprint arXiv:2310.06407, 2023 - arxiv.org
Edges, binding together nodes within networks, have the potential to induce dramatic
transitions when specific collective failure behaviors emerge. These changes, initially …

Volcano transition in a system of generalized Kuramoto oscillators with random frustrated interactions

S Lee, Y Jeong, SW Son… - Journal of Physics A …, 2024 - iopscience.iop.org
In a system of heterogeneous (Abelian) Kuramoto oscillators with random or'frustrated'
interactions, transitions from states of incoherence to partial synchronization were observed …

Synchronization modes of triple flickering buoyant diffusion flames: Experimental identification and model interpretation

Y Chi, Z Hu, T Yang, P Zhang - Physical Review E, 2024 - APS
The synchronization modes of a nonlinear oscillator system consisting of three identical
flickering buoyant diffusion flames in isosceles triangles were studied experimentally and …

Integrability of a globally coupled complex Riccati array: Quadratic integrate-and-fire neurons, phase oscillators, and all in between

R Cestnik, EA Martens - Physical Review Letters, 2024 - APS
We present an exact dimensionality reduction for dynamics of an arbitrary array of globally
coupled complex-valued Riccati equations. It generalizes the Watanabe-Strogatz theory …

An analytical approach for the stability analysis of power networks through Kuramoto oscillators model

R Farhangi, MTH Beheshti, M Jamil, AA Khan - … in Nonlinear Science and …, 2023 - Elsevier
In recent years, ensuring stability in power networks has posed a significant challenge for
network control engineers, primarily due to the substantial growth in power demand and the …

Synchronization in the quaternionic Kuramoto model

TY Hsiao, YF Lo, W Wang - arXiv preprint arXiv:2309.01893, 2023 - arxiv.org
In this paper, we propose an $ N $ oscillators Kuramoto model with quaternions $\mathbb
{H} $. In case the coupling strength is strong, a sufficient condition of synchronization is …

[HTML][HTML] Complexified synchrony

S Lee, L Braun, F Bönisch, M Schröder… - … Journal of Nonlinear …, 2024 - pubs.aip.org
The Kuramoto model and its generalizations have been broadly employed to characterize
and mechanistically understand various collective dynamical phenomena, especially the …

Coupling Between Local and Global Oscillations in Palladium-Catalysed Methane Oxidation

Y Hu, J Hu, M Sun, A Li, S Shi, PJ Hu, W Zhou… - arXiv preprint arXiv …, 2024 - arxiv.org
The interplay between order and disorder is crucial across various fields, especially in
understanding oscillatory phenomena. Periodic oscillations are frequently observed in …

Studying time-resolved functional connectivity via communication theory: on the complementary nature of phase synchronization and sliding window Pearson …

SL Wiafe, NO Asante, VD Calhoun, A Faghiri - bioRxiv, 2024 - biorxiv.org
Time-resolved functional connectivity (trFC) assesses the time-resolved coupling between
brain regions using functional magnetic resonance imaging (fMRI) data. This study aims to …