2 papers
math.DS2026
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…
math.DS2026
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…