RT Book, Section
T1 Hamiltonian Formulation and Order Reduction for Nonlinear Splines in the Euclidean 3-Space
A1 Muñoz Masqué, Jaime
A1 Pozo Coronado, Luis Miguel
AB The authors use the procedure developed in [9] to develop a Hamiltonian structure into the variational problem given by the integral of the squared curvature on the spatial curves.The solutions of that problem are the elasticae or nonlinear splines. The symmetry of the problem under rigid motions is then used to reduce the Euler–Lagrange equations to a firstorder dynamical system.
PB Natsional. Akad. Nauk Ukraïni, Inst. Mat., Kiev,
SN 966-02-1401-4
YR 2000
FD 2000
LK https://hdl.handle.net/20.500.14352/60704
UL https://hdl.handle.net/20.500.14352/60704
LA eng
NO Proceedings of the third international conference on symmetry in nonlinear mathematical physics, Kyiv, Ukraine, July 12-18, 1999. Part 1. Transl. from the Ukrainian. Kyiv:Institute of Mathematics of NAS of Ukraine
DS Docta Complutense
RD 17 abr 2025