Dynamical equivalence between Kuramoto models with first- and higher-order coupling

DOI10.1063/1.5118941zbMath1427.34060arXiv1907.03699OpenAlexW2990558791WikidataQ91515343 ScholiaQ91515343MaRDI QIDQ5205684

Robin Delabays

Publication date: 13 December 2019

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

Full work available at URL: https://arxiv.org/abs/1907.03699

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (2)

Cluster Synchrony of High-Dimensional Kuramoto Models with Higher-Order Couplings ⋮ Generalized splay states in phase oscillator networks

Cites Work

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• Global Phase-Locking in Finite Populations of Phase-Coupled Oscillators
• Existence of Partial Entrainment and Stability of Phase Locking Behavior of Coupled Oscillators
• Rare slips in fluctuating synchronized oscillator networks
• Synchronization in complex oscillator networks and smart grids
• Clustering and Bellerophon state in Kuramoto model with second-order coupling
• The Kuramoto Model on Oriented and Signed Graphs

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