Multistability of phase-locking in equal-frequency Kuramoto models on planar graphs

DOI10.1063/1.4978697zbMath1366.34050arXiv1609.02359OpenAlexW3102414678WikidataQ62578303 ScholiaQ62578303MaRDI QIDQ2974646

Tommaso Coletta, Philippe Jacquod, Robin Delabays

Publication date: 10 April 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02359

zbMATH Keywords

synchronycoupled oscillatorsplanar graphsKuramoto

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (16)

Counting Equilibria of the Kuramoto Model Using Birationally Invariant Intersection Index ⋮ When is sync globally stable in sparse networks of identical Kuramoto oscillators? ⋮ Kuramoto Networks with Infinitely Many Stable Equilibria ⋮ Topological States in the Kuramoto Model ⋮ Clusterization and phase diagram of the bimodal Kuramoto model with bounded confidence ⋮ Synchronization and stability for quantum Kuramoto ⋮ Cycle flows and multistability in oscillatory networks ⋮ The size of the sync basin revisited ⋮ Nonlinear Consensus on Networks: Equilibria, Effective Resistance, and Trees of Motifs ⋮ Stability and control of power grids with diluted network topology ⋮ Multistability in lossy power grids and oscillator networks ⋮ A matrix-valued Kuramoto model ⋮ Data-driven stochastic modeling of coarse-grained dynamics with finite-size effects using Langevin regression ⋮ Directed acyclic decomposition of Kuramoto equations ⋮ Synchronisation conditions in the Kuramoto model and their relationship to seminorms ⋮ Consensus on simplicial complexes: Results on stability and synchronization

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• Synchronization in complex oscillator networks and smart grids

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