1 citations · 2 across the 6 of their papers we have counts for
9 papers
Long-time behaviour of interaction models on Riemannian manifolds with bounded curvature
Razvan C. Fetecau, Hansol Park
We investigate the long-time behaviour of solutions to a nonlocal partial differential equation on smooth Riemannian manifolds of bounded sectional curvature. The equation models s…
Well-posedness of an interaction model on Riemannian manifolds
Razvan C. Fetecau, Francesco S. Patacchini
We investigate a model for collective behaviour with intrinsic interactions on smooth Riemannian manifolds. For regular interaction potentials, we establish the local well-posednes…
Emergent behaviors of rotation matrix flocks
Razvan C. Fetecau, Seung-Yeal Ha, Hansol Park
We derive an explicit form for the Cucker-Smale (CS) model on the special orthogonal group by identifying closed form expressions for geometric quantities such as…
Safe Coverage of Moving Domains for Vehicles with Second Order Dynamics
Juan Chacon, Mo Chen, Razvan Fetecau
Autonomous coverage of a specified area by robots operating in close proximity with each other has many potential applications such as real-time monitoring of rapidly changing envi…
Safe Coverage of Compact Domains For Second Order Dynamical Systems
Juan Chacon, Mo Chen, Razvan C. Fetecau
Autonomous systems operating in close proximity with each other to cover a specified area has many potential applications, but to achieve effective coordination, two key challenges…
Equilibria of an aggregation model with linear diffusion in domains with boundaries
Daniel A. Messenger, Razvan C. Fetecau
We investigate the effect of linear diffusion and interactions with the domain boundary on swarm equilibria by analyzing critical points of the associated energy functional. Throug…