3 papers
cs.RO2020
Safe trajectory of a piece moved by a robot
Ernest Benedito, Oliver Bond, Thomas Babb +3
In this work, we propose a mathematical model for a physical problem based on the movement of a metal piece held by a robot. Using the principles of Kirchoff plate theory, a set of…
math.AP2020
On the Schrödinger map for regular helical polygons in the hyperbolic space
Sandeep Kumar
The main purpose is to describe the evolution of $\Xt = \Xs \wedge_- \Xss,$ with $\X(s,0)$ a regular polygonal curve with a nonzero torsion in the 3-dimensional hyperbolic space. U…
math.NA2019
On the Evolution of the Vortex Filament Equation for regular -polygons with nonzero torsion
Francisco de la Hoz, Sandeep Kumar, Luis Vega
In this paper, we consider the evolution of the Vortex Filament equation (VFE): \begin{equation*} \mathbf X_t = \mathbf Xs \wedge \mathbf Xss, \end{equation*} taking -sided regu…