An analytical approach to the external force-free motion of pendulums on surfaces of constant curvature

JOURNAL OF GEOMETRY AND PHYSICS

卷:129

Article

Rubio, Rafael M.¹  Salamanca, Juan J.¹ 

[1] Univ Cordoba, Dept Matemat, Campus Rabanales, E-14071 Cordoba, Spain

关键词: Dynamical systems;    Lagrangian and Hamiltonian mechanics;    Semi-Riemannian geometry;    Constant curvature;    Pendulum;   

DOI  :  10.1016/j.geomphys.2018.03.010

来源: Elsevier

【 摘 要 】

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. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free