Lagrangian-Hamiltonian unified formalism for autonomous higher order dynamical systems
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10.1088/1751-8113/44/38/385203
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hdl:2117/13521
Tipus de documentArticle
Data publicació2011-09-23
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Abstract
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-order autonomous mechanical systems,
we develop a complete generalization of the Lagrangian-Hamiltonian unified formalism for
these kinds of systems, and we use it to analyze some physical models from this new point
of view.
CitacióPrieto-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.
ISSN1751-8113
Versió de l'editorhttp://arxiv.org/abs/1106.3261
Fitxers | Descripció | Mida | Format | Visualitza |
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1106.3261v3.pdf | 461,2Kb | Accés restringit |