2026-06-27T15:35:37Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/577692023-08-28T04:19:28Zcom_20.500.14352_14col_20.500.14352_15

Hamilton equations for elasticae in the Euclidean 3-space. Pozo Coronado, Luis Miguel The variational problem on spatial curves defined by the integral of the squared curvature, whose solutions are the elasticae or nonlinear splines, is analyzed from the Hamiltonian point of view, using a procedure developed by Munoz Masqueand Pozo Coronado [J. Munoz Masque, LM. Pozo Coronado, J. Phys. A 31 (1998) 6225-6242]. The symmetry of the problem under rigid motions is then used to reduce the Euler-Lagrange equations to a first-order dynamical system. 2023-06-20T17:06:02Z 2023-06-20T17:06:02Z 2023-06-20T17:06:02Z 2000 journal article https://hdl.handle.net/20.500.14352/57769 0167-2789 10.1016/S0167-2789(00)00040-3 eng PB98-0533. restricted access Elsevier