A Global synchronization theorem for oscillators on a random graph

DOI10.1063/5.0090443MaRDI QIDQ6569973

Martin Kassabov, Alex Townsend, Steven H. Strogatz

Publication date: 9 July 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Cites Work

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• Synchronization in complex networks of phase oscillators: a survey
• The Kuramoto model in complex networks
• Chemical oscillations, waves, and turbulence
• Stability of twisted states in the Kuramoto model on Cayley and random graphs
• The eigenvalues of random symmetric matrices
• Constants of motion for superconducting Josephson arrays
• The Kuramoto model on power law graphs: synchronization and contrast states
• Consistency of spectral clustering in stochastic block models
• Small-world networks of Kuramoto oscillators
• There is no non-zero stable fixed point for dense networks in the homogeneous Kuramoto model
• Synchronization of Pulse-Coupled Biological Oscillators
• The size of the sync basin
• A moment-based approach to the dynamical solution of the Kuramoto model
• Dynamics of globally coupled oscillators: Progress and perspectives
• Synchronization
• Bifurcations in the Kuramoto model on graphs
• Sufficiently dense Kuramoto networks are globally synchronizing
• Synchronization of Kuramoto oscillators in dense networks
• On the Landscape of Synchronization Networks: A Perspective from Nonconvex Optimization
• Spectral techniques applied to sparse random graphs
• Linear response theory for coupled phase oscillators with general coupling functions
• Spectral norm of random matrices

Related Items (4)

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