1 citations · 2 across the 7 of their papers we have counts for
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Logarithmic Velocity Alignment on Riemannian Manifolds
Hyunjin Ahn, Woojoo Shim
We introduce a logarithmic velocity alignment model for collective motion on Riemannian manifolds. The interaction law is defined by the covariant time derivative of logarithmic di…
Geometric Control of Moving Parallel Transport in Riemannian Cucker--Smale Dynamics with Bonding Forces
Hyunjin Ahn, Woojoo Shim
We study a Cucker--Smale type system with bonding forces on complete Riemannian manifolds with uniformly bounded curvature. On general manifolds, the time variation of parallel tra…
Asymptotic stability of the high-dimensional Kuramoto model on Stiefel manifolds
Dohyun Kim, Woojoo Shim
The aim of this article is to investigate the convergence properties of a heterogeneous consensus model on Stiefel manifolds. We consider each agent, without interaction, moving ac…
On the emergent dynamics of the infinite set of Kuramoto oscillators
Seung-Yeal Ha, Euntaek Lee, Woojoo Shim
We propose an infinite Kuramoto model for a countably infinite set of Kuramoto oscillators and study its emergent dynamics for two classes of network topologies. For a class of sym…
Emergent behaviors of Thermodynamic Kuramoto ensemble on a regular ring lattice
Seung-Yeal Ha, Hansol Park, Tommaso Ruggeri +1
The temporal evolution of Kuramoto oscillators influenced by the temperature field often appears in biological oscillator ensembles. In this paper, we propose a generalized Kuramot…