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Hamiltonian Formulation and Order Reduction for Nonlinear Splines in the Euclidean 3-Space

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Muñoz Masqué, Jaime y Pozo Coronado, Luis Miguel (2000) Hamiltonian Formulation and Order Reduction for Nonlinear Splines in the Euclidean 3-Space. In Proceedings of Institute of Mathematics of NAS of Ukraine. Proc. Inst. Math. Natl. Acad. Sci. Ukr.,, 1 (30). Natsional. Akad. Nauk Ukraïni, Inst. Mat., Kiev,, Ukrainian. Kyiv, pp. 170-176. ISBN 966-02-1401-4

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URL Oficial: http://www.slac.stanford.edu/econf/C990712/papers/art23.pdf



Resumen

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.


Tipo de documento:Sección de libro
Información Adicional:

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

Palabras clave:Variational problem; Nonlinear spline; Hamiltonian formalism; Generalized symmetry; Reduction
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:21729
Depositado:07 Jun 2013 14:03
Última Modificación:12 Dic 2018 15:13

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