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Lagrangian-Hamiltonian unified formalism for autonomous higher order dynamical systems

Autor
P.D. Prieto-Martínez; Roman-Roy, N.
Tipus d'activitat
Article en revista
Revista
Journal of physics A. Mathematical and theoretical
Data de publicació
2011-09-23
Volum
44
Número
38
Pàgina inicial
1
Pàgina final
36
DOI
https://doi.org/10.1088/1751-8113/44/38/385203 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/13521 Obrir en finestra nova
URL
http://arxiv.org/abs/1106.3261 Obrir en finestra nova
Resum
The Lagrangian-Hamiltonian unified formalism of R. Skinner and R. Rusk was originally stated for autonomous dynamical systems in classical mechanics. It has been generalized for non-autonomous first-order mechanical systems, as well as for first-order and higher-order field theories. However, a complete generalization to higher-order mechanical systems has yet to be described. In this work, after reviewing the natural geometrical setting and the Lagrangian and Hamiltonian formalisms for higher-o...
Citació
Prieto-Martínez, P.D.; Roman-Roy, N. Lagrangian-Hamiltonian unified formalism for autonomous higher order dynamical systems. "Journal of physics A. Mathematical and theoretical", 23 Setembre 2011, vol. 44, núm. 38, p. 1-36.
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

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