The Kuramoto model on a sphere: explaining its low-dimensional dynamics with group theory and hyperbolic geometry
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Publication:6556960
DOI10.1063/5.0060233zbMATH Open1546.341MaRDI QIDQ6556960
Max Lipton, Steven H. Strogatz, Renato E. Mirollo
Publication date: 17 June 2024
Published in: Chaos (Search for Journal in Brave)
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems on manifolds (34C40) Synchronization of solutions to ordinary differential equations (34D06)
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Related Items (7)
Order parameter dynamics in complex systems: from models to data ⋮ Chimeras and traveling waves in ensembles of Kuramoto oscillators off the Poisson manifold ⋮ Complexified synchrony ⋮ Combined higher-order interactions of mixed symmetry on the sphere ⋮ Ott-Antonsen ansatz for the D-dimensional Kuramoto model: a constructive approach ⋮ Synchronization in the Kuramoto model in presence of stochastic resetting ⋮ Phase holonomy underlies puzzling temporal patterns in Kuramoto models with two sub-populations
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