2026-06-26T10:04:57Zhttps://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

Pozo Coronado, Luis Miguel 2023-06-20T17:06:02Z 2023-06-20T17:06:02Z 2000 0167-2789 10.1016/S0167-2789(00)00040-3 https://hdl.handle.net/20.500.14352/57769 http://www.sciencedirect.com/science/journal/01672789 http://www.sciencedirect.com 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. eng restricted access Hamilton equations for elasticae in the Euclidean 3-space. journal article