Completely degenerate equilibria of the Kuramoto model on networks

DOI10.1088/1361-6544/AD694AMaRDI QIDQ6586969

Davide Sclosa

Publication date: 13 August 2024

Published in: Nonlinearity (Search for Journal in Brave)

zbMATH Keywords

networkbipartitegradientnilpotentEulerianKuramotodegenerate equilibria

Mathematics Subject Classification ID

Applications of graph theory (05C90) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Eulerian and Hamiltonian graphs (05C45)

Cites Work

• Synchronization in complex networks of phase oscillators: a survey
• When is sync globally stable in sparse networks of identical Kuramoto oscillators?
• On the stable equilibrium points of gradient systems
• Synchronization properties of trees in the Kuramoto model
• Multistability of phase-locking in equal-frequency Kuramoto models on planar graphs
• There is no non-zero stable fixed point for dense networks in the homogeneous Kuramoto model
• The size of the sync basin
• On Computing the Critical Coupling Coefficient for the Kuramoto Model on a Complete Bipartite Graph
• Phase-locked patterns of the Kuramoto model on 3-regular graphs
• The lower bound of the network connectivity guaranteeing in-phase synchronization
• Sufficiently dense Kuramoto networks are globally synchronizing
• Synchronization of Kuramoto oscillators in dense networks
• Synchronization in complex oscillator networks and smart grids
• On the Landscape of Synchronization Networks: A Perspective from Nonconvex Optimization

This page was built for publication: Completely degenerate equilibria of the Kuramoto model on networks

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6586969)