31 citations · 39 across the 14 of their papers we have counts for
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A Geometric Obstruction to Almost Global Synchronization on Riemannian Manifolds
Johan Markdahl
Multi-agent systems on nonlinear spaces sometimes fail to synchronize. This is usually attributed to the initial configuration of the agents being too spread out, the graph topolog…
High-dimensional Kuramoto models on Stiefel manifolds synchronize complex networks almost globally
Johan Markdahl, Johan Thunberg, Jorge Goncalves
The Kuramoto model of coupled phase oscillators is often used to describe synchronization phenomena in nature. Some applications, e.g., quantum synchronization and rigid-body attit…
A Lifting method for analyzing distributed synchronization on the unit sphere
Johan Thunberg, Johan Markdahl, Florian Bernard +1
This paper introduces a new lifting method for analyzing convergence of continuous-time distributed synchronization/consensus systems on the unit sphere. Points on the d-dimensiona…
Towards Almost Global Synchronization on the Stiefel Manifold
Johan Markdahl, Johan Thunberg, Jorge Goncalves
A graph is referred to as -synchronizing if, roughly speaking, the Kuramoto-like model whose interaction topology is given by synchronizes…