Synchronization of Kuramoto oscillators in dense networks

DOI10.1088/1361-6544/ab9baazbMath1480.34069arXiv1911.12336OpenAlexW3106487543MaRDI QIDQ5136515

Stefan Steinerberger, Jian-feng Lu

Publication date: 26 November 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12336

zbMATH Keywords

synchronizationenergy landscapeKuramoto oscillator

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (5)

Max-Cut via Kuramoto-Type Oscillators ⋮ Equilibria in Kuramoto Oscillator Networks: An Algebraic Approach ⋮ Kuramoto Networks with Infinitely Many Stable Equilibria ⋮ The lower bound of the network connectivity guaranteeing in-phase synchronization ⋮ Sufficiently dense Kuramoto networks are globally synchronizing

Cites Work

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• Synchronization in complex networks of phase oscillators: a survey
• The Kuramoto model in complex networks
• Stability of twisted states in the Kuramoto model on Cayley and random graphs
• A geometric analysis of phase retrieval
• There is no non-zero stable fixed point for dense networks in the homogeneous Kuramoto model
• The size of the sync basin
• Algebraic geometrization of the Kuramoto model: Equilibria and stability analysis
• Synchronization in complex oscillator networks and smart grids
• On the Landscape of Synchronization Networks: A Perspective from Nonconvex Optimization

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