2 papers
cs.RO2024
A variational approach to geometric mechanics for undulating robotic locomotion
Sean Even, Patrick S. Martinez, Cora Keogh +3
Limbless organisms of all sizes use undulating patterns of self-deformation to locomote. Geometric mechanics, which maps deformations to motions, provides a powerful framework to f…
math.AP2024
asymptotic stability of 1D damped wave equation with nonlinear distributed damping
Yacine Chitour, Meryem Kafnemer, Patrick Martinez +1
In this paper, we study the one-dimensional wave equation with localized nonlinear damping and Dirichlet boundary conditions, in the framework, with . We sta…