An analytical approach to the external force-free motion of pendulums on surfaces of constant curvature
arXiv:1404.5980 · doi:10.1016/j.geomphys.2018.03.010
Abstract
The dynamics of force free motion of pendulums on surfaces of constant Gaussian curvature is addressed when the pivot moves along a geodesic obtaining the Lagragian of the system. As a application it is possible the study of elastic and quantum pendulums.