An analytical approach to the external force-free motion of pendulums on surfaces of constant curvature
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Autor
Rubio, Rafael M.
Salamanca, Juan J.
Editor
ElsevierFecha
2018Materia
Dynamical systemsLagrangian and Hamiltonian mechanics
Semi-Riemannian geometry
Constant curvature
Pendulum
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The dynamics of external force free motion of pendulums on surfaces of constant Gaussian curvature is addressed when the pivot moves along a geodesic obtaining the Lagrangian of the system. As an application it is possible the study of elastic and quantum pendulums.