Bifurcations in the Kuramoto model on graphs

DOI10.1063/1.5039609zbMath1407.34053arXiv1805.03786OpenAlexW3099637801WikidataQ90708639 ScholiaQ90708639MaRDI QIDQ4683667

Georgi S. Medvedev, Hayato Chiba, Matthew S. Mizuhara

Publication date: 21 September 2018

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

Full work available at URL: https://arxiv.org/abs/1805.03786

zbMATH Keywords

bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) 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)

Related Items (16)

Stability analysis of nonlinear oscillator networks based on the mechanism of cascading failures ⋮ The mean field analysis of the Kuramoto model on graphs. I: The mean field equation and transition point formulas ⋮ Koopman analysis of nonlinear systems with a neural network representation ⋮ Adaptive dynamical networks ⋮ Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems ⋮ Pattern Formation in Random Networks Using Graphons ⋮ Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations ⋮ Bifurcations and patterns in the Kuramoto model with inertia ⋮ Continuum limits of coupled oscillator networks depending on multiple sparse graphs ⋮ Interacting diffusions on sparse graphs: hydrodynamics from local weak limits ⋮ The Kuramoto Model on Oriented and Signed Graphs ⋮ The Kuramoto model on power law graphs: synchronization and contrast states ⋮ Partially phase-locked solutions to the Kuramoto model ⋮ On the Landscape of Synchronization Networks: A Perspective from Nonconvex Optimization ⋮ Interacting diffusions on random graphs with diverging average degrees: hydrodynamics and large deviations ⋮ Chimeras unfolded

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