RT Journal Article
T1 Hamilton equations for elasticae in the Euclidean 3-space.
A1 Pozo Coronado, Luis Miguel
AB 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.
PB Elsevier
SN 0167-2789
YR 2000
FD 2000
LK https://hdl.handle.net/20.500.14352/57769
UL https://hdl.handle.net/20.500.14352/57769
LA eng
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NO DGESIC
DS Docta Complutense
RD 29 abr 2024