A graphical approach to estimate the critical coupling strength for Kuramoto networks

DOI10.1063/1.5084063zbMath1415.34069OpenAlexW2945629845WikidataQ92468373 ScholiaQ92468373MaRDI QIDQ5382858

Brady Gilg, Dieter Armbruster

Publication date: 18 June 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5084063

Mathematics Subject Classification ID

Applications of graph theory (05C90) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Synchronization of solutions to ordinary differential equations (34D06)

Cites Work

• Unnamed Item
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• The Kuramoto model in complex networks
• Chemical oscillations, waves, and turbulence
• From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
• Fully synchronous solutions and the synchronization phase transition for the finite-N Kuramoto model
• The asymptotic behavior of the order parameter for the infinite-N Kuramoto model
• The size of the sync basin
• Global Phase-Locking in Finite Populations of Phase-Coupled Oscillators
• Existence of Partial Entrainment and Stability of Phase Locking Behavior of Coupled Oscillators
• On Exponential Synchronization of Kuramoto Oscillators
• Synchronization in complex oscillator networks and smart grids
• On the Critical Coupling for Kuramoto Oscillators

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