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 …

Overviews on the applications of the Kuramoto model in modern power system analysis

Y Guo, D Zhang, Z Li, Q Wang, D Yu - … Journal of Electrical Power & Energy …, 2021 - Elsevier
Synchronization of power systems is not only a vital issue nowadays, but also of major
importance in the development of future smart grids where high penetration of renewable …

Basin stability for chimera states

S Rakshit, BK Bera, M Perc, D Ghosh - Scientific reports, 2017 - nature.com
Chimera states, namely complex spatiotemporal patterns that consist of coexisting domains
of spatially coherent and incoherent dynamics, are investigated in a network of coupled …

Basin stability in delayed dynamics

S Leng, W Lin, J Kurths - Scientific reports, 2016 - nature.com
Basin stability (BS) is a universal concept for complex systems studies, which focuses on the
volume of the basin of attraction instead of the traditional linearization-based approach. It …

Promoting synchrony of power grids by restructuring network topologies

X Li, W Wei, Z Zheng - Chaos: An Interdisciplinary Journal of Nonlinear …, 2023 - pubs.aip.org
The optimization of synchronization on distributed power grids is an important topic in recent
years. We extensively study the optimization by restructuring grid topology in terms of …

Basin stability measure of different steady states in coupled oscillators

S Rakshit, BK Bera, S Majhi, C Hens, D Ghosh - Scientific reports, 2017 - nature.com
In this report, we investigate the stabilization of saddle fixed points in coupled oscillators
where individual oscillators exhibit the saddle fixed points. The coupled oscillators may have …

A basin stability based metric for ranking the transient stability of generators

Z Liu, X He, Z Ding, Z Zhang - IEEE Transactions on Industrial …, 2018 - ieeexplore.ieee.org
This paper discusses a simulation-based generator-level stability index and demonstrates
the use of the index to quantify the impact of different load scenarios, transmission line …

Large-deviations of the basin stability of power grids

Y Feld, AK Hartmann - Chaos: An Interdisciplinary Journal of Nonlinear …, 2019 - pubs.aip.org
Energy grids play an important role in modern society. In recent years, there was a shift from
using few central power sources to using many small power sources, due to efforts to …

Prolonged hysteresis in the Kuramoto model with inertia and higher-order interactions

NG Sabhahit, AS Khurd, S Jalan - Physical Review E, 2024 - APS
The inclusion of inertia in the Kuramoto model has long been reported to change the nature
of a phase transition, providing a fertile ground to model the dynamical behaviors of …

Topology of sustainable management of dynamical systems with desirable states: from defining planetary boundaries to safe operating spaces in the Earth system

J Heitzig, T Kittel, JF Donges… - Earth System …, 2016 - esd.copernicus.org
To keep the Earth system in a desirable region of its state space, such as defined by the
recently suggested" tolerable environment and development window"," guardrails"," …