Sufficiently dense Kuramoto networks are globally synchronizing
From MaRDI portal
Publication:5011765
DOI10.1063/5.0057659zbMath1468.34046arXiv2105.11406OpenAlexW3185429264MaRDI QIDQ5011765
Alex Townsend, Martin Kassabov, Steven H. Strogatz
Publication date: 27 August 2021
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.11406
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)
Related Items (4)
The Kuramoto model on dynamic random graphs ⋮ Max-Cut via Kuramoto-Type Oscillators ⋮ Kuramoto Networks with Infinitely Many Stable Equilibria ⋮ Guarantees for Spontaneous Synchronization on Random Geometric Graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Synchronization in complex networks of phase oscillators: a survey
- The Kuramoto model in complex networks
- Chemical oscillations, waves, and turbulence
- Constants of motion for superconducting Josephson arrays
- When is sync globally stable in sparse networks of identical Kuramoto oscillators?
- Exotic equilibria of Harary graphs and a new minimum degree lower bound for synchronization
- Synchronization of weakly coupled oscillators: coupling, delay and topology
- There is no non-zero stable fixed point for dense networks in the homogeneous Kuramoto model
- Synchronization of Pulse-Coupled Biological Oscillators
- The size of the sync basin
- A moment-based approach to the dynamical solution of the Kuramoto model
- Algebraic geometrization of the Kuramoto model: Equilibria and stability analysis
- Dynamics of globally coupled oscillators: Progress and perspectives
- Phase-locked patterns of the Kuramoto model on 3-regular graphs
- Dense networks that do not synchronize and sparse ones that do
- Synchronization of Kuramoto oscillators in dense networks
- On the Landscape of Synchronization Networks: A Perspective from Nonconvex Optimization
- Linear response theory for coupled phase oscillators with general coupling functions
This page was built for publication: Sufficiently dense Kuramoto networks are globally synchronizing
