The multidimensional Kuramoto model describes the synchronization dynamics of particles
moving on the surface of D-dimensional spheres, generalizing the original model where …

The Kuramoto model describes how coupled oscillators synchronize their phases as the
intensity of the coupling increases past a threshold. The model was recently extended by …

Chimera dynamics, an intriguing phenomenon of coupled oscillators, is characterized by the
coexistence of coherence and incoherence, arising from a symmetry-breaking mechanism …

In a system of heterogeneous (Abelian) Kuramoto oscillators with random or'frustrated'
interactions, transitions from states of incoherence to partial synchronization were observed …

This paper studies a leader-following rendezvous problem for the generalized Cucker–
Smale model, a double-integrator multiagent system, on some Riemannian manifolds. By …

We investigate the conformists–contrarians model of identical Kuramoto oscillators evolving
on a sphere. Using group-theoretic and geometric approach, we reduce the model to the …

The Kuramoto model, describing the synchronization dynamics of coupled oscillators, has
been generalized in many ways over the past years. One recent extension of the model …

The Kuramoto model and its generalizations have been broadly employed to characterize
and mechanistically understand various collective dynamical phenomena, especially the …

We report on the effect of spatially correlated noise on the velocities of self-propelled
particles. Correlations in the random forces acting on self-propelled particles can induce …

We propose the idea of using Kuramoto models (including their higher-dimensional
generalizations) for machine learning over non-Euclidean data sets. These models are …