Synchronization dynamics of phase oscillator populations with generalized heterogeneous coupling

Y Wu, Z Zheng, L Tang, C Xu - Chaos, Solitons & Fractals, 2022 - Elsevier
The Kuramoto model, serving as a paradigmatic tool, has been used to shed light on the
collective behaviors in large ensembles of coupled dynamic agents. It is well known that the …

Explosive synchronization in phase oscillator populations with attractive and repulsive adaptive interactions

X Wang, Z Zheng, C Xu - Chaos, Solitons & Fractals, 2023 - Elsevier
The attractive and repulsive adaptive coupling schemes among dynamical agents are
ubiquitous in systems ranging from physics, biology to neuroscience, which have attracted …

[HTML][HTML] Correlated disorder in the Kuramoto model: Effects on phase coherence, finite-size scaling, and dynamic fluctuations

H Hong, KP O'Keeffe, SH Strogatz - Chaos: An Interdisciplinary Journal …, 2016 - pubs.aip.org
We consider a mean-field model of coupled phase oscillators with quenched disorder in the
natural frequencies and coupling strengths. A fraction p of oscillators are positively coupled …

Synchronization of phase oscillators with heterogeneous coupling: A solvable case

GH Paissan, DH Zanette - Physica D: Nonlinear Phenomena, 2008 - Elsevier
We consider an extension of Kuramoto's model of coupled phase oscillators where oscillator
pairs interact with different strengths. When the coupling coefficient of each pair can be …

Synchronization in phase-coupled oscillator with attractive–repulsive frequencies

B Yasmine, W Jia, Y Xu - Journal of Statistical Mechanics: Theory …, 2022 - iopscience.iop.org
We investigate the synchronization behavior of a simple but quite useful mode of emergent
collective behavior in ensembles of interacting dynamical elements, the Kuramoto model …

Synchronization transitions in phase oscillator populations with partial adaptive coupling

Z Chen, Z Zheng, C Xu - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
The adaptation underlying many realistic processes plays a pivotal role in shaping the
collective dynamics of diverse systems. Here, we untangle the generic conditions for …

Collective dynamics of heterogeneously and nonlinearly coupled phase oscillators

C Xu, X Tang, H Lü, K Alfaro-Bittner, S Boccaletti… - Physical Review …, 2021 - APS
Coupled oscillators have been used to study synchronization in a wide range of social,
biological, and physical systems, including pedestrian-induced bridge resonances …

Universal scaling and phase transitions of coupled phase oscillator populations

C Xu, X Wang, PS Skardal - Physical Review E, 2020 - APS
The Kuramoto model, which serves as a paradigm for investigating synchronization
phenomena of oscillatory systems, is known to exhibit second-order, ie, continuous, phase …

Stability and bifurcation of collective dynamics in phase oscillator populations with general coupling

C Xu, X Wang, Z Zheng, Z Cai - Physical Review E, 2021 - APS
The Kuramoto model serves as an illustrative paradigm for studying the synchronization
transitions and collective behaviors in large ensembles of coupled dynamical units. In this …

Exact dynamics of phase transitions in oscillator populations with nonlinear coupling

Z Cai, Z Zheng, C Xu - … in Nonlinear Science and Numerical Simulation, 2022 - Elsevier
The Kuramoto model consisting of a population of coupled phase oscillators has served as
an idealized tool for studying synchronization transitions in diverse self-sustained systems. It …