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 …

Synchronization characteristics of an array of coupled MEMS limit cycle oscillators

A Bhaskar, B Shayak, RH Rand, AT Zehnder - International Journal of Non …, 2021 - Elsevier
The dynamics of a proposed microelectromechanical system (MEMS) consisting of an array
of limit cycle oscillators (LCOs) are analyzed. The LCOs have dissimilar limit cycle …

Vortices and the entrainment transition in the two-dimensional Kuramoto model

TE Lee, H Tam, G Refael, JL Rogers, MC Cross - Physical Review E …, 2010 - APS
We study synchronization in the two-dimensional lattice of coupled phase oscillators with
random intrinsic frequencies. When the coupling K is larger than a threshold KE, there is a …

Extracting topological features from dynamical measures in networks of Kuramoto oscillators

L Prignano, A Diaz-Guilera - Physical Review E—Statistical, Nonlinear, and …, 2012 - APS
The Kuramoto model for an ensemble of coupled oscillators provides a paradigmatic
example of nonequilibrium transitions between an incoherent and a synchronized state …

Synchronization in a one-dimensional array of point Josephson junctions coupled to a common load

SZ Lin, X Hu, L Bulaevskii - Physical Review B—Condensed Matter and …, 2011 - APS
We study the synchronization in a one-dimensional array of point Josephson junctions
coupled to a common capacitor, which establishes a long-range interaction between …

[HTML][HTML] Synchronization of three electrochemical oscillators: From local to global coupling

Y Liu, M Sebek, F Mori, IZ Kiss - Chaos: An Interdisciplinary Journal of …, 2018 - pubs.aip.org
We investigate the formation of synchronization patterns in an oscillatory nickel
electrodissolution system in a network obtained by superimposing local and global coupling …

Graphical Notation Reveals Topological Stability Criteria for Collective Dynamics<? format?> in Complex Networks

AL Do, S Boccaletti, T Gross - Physical review letters, 2012 - APS
We propose a graphical notation by which certain spectral properties of complex systems
can be rewritten concisely and interpreted topologically. Applying this notation to analyze …

Crafting networks to achieve, or not achieve, chaotic states

S De Nigris, X Leoncini - Physical Review E, 2015 - APS
The influence of networks topology on collective properties of dynamical systems defined
upon it is studied in the thermodynamic limit. A network model construction scheme is …

Analytical results for frequency-weighted Kuramoto-oscillator networks

YL Liu, XM Yu, YH Hao - Chinese Physics Letters, 2015 - iopscience.iop.org
The Kuramoto model for an ensemble of coupled oscillators provides a paradigmatic
example of non-equilibrium transitions between an incoherent and a synchronized state. A …

[图书][B] Self-organization in continuous adaptive networks

AL Do, T Gross - 2022 - taylorfrancis.com
In the last years, adaptive networks have been discovered simultaneously in different fields
as a universal framework for the study of self-organization phenomena. Understanding the …