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Higher-order mechanics: variational principles and other topics

Autor
P.D. Prieto-Martínez; Roman-Roy, N.
Tipus d'activitat
Article en revista
Revista
Journal of Geometric Mechanics
Data de publicació
2013-12
Volum
5
Número
4
Pàgina inicial
493
Pàgina final
510
DOI
https://doi.org/10.3934/jgm.2013.5.493 Obrir en finestra nova
Projecte finançador
GEOMETRIA DIFERENCIAL SISTEMES DINAMICS I APLIC
Geometría de sistemas físicos y de control y aplicaciones
Red: Geometría, Mecánica y Control
Repositori
http://hdl.handle.net/2117/22510 Obrir en finestra nova
URL
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=9525 Obrir en finestra nova
Resum
After reviewing the Lagrangian-Hamiltonian unified formalism (i.e, the Skinner-Rusk formalism) for higher-order (non-autonomous) dynamical systems, we state a unified geometrical version of the Variational Principles which allows us to derive the Lagrangian and Hamiltonian equations for these kinds of systems. Then, the standard Lagrangian and Hamiltonian formulations of these principles and the corresponding dynamical equations are recovered from this unified framework.. © American Institute o...
Citació
Prieto, P.; Roman-Roy, N. Higher-order mechanics: variational principles and other topics. "Journal of Geometric Mechanics", Desembre 2013, vol. 5, núm. 4, p. 493-510.
Paraules clau
Higher-order mechanics, Lagrangian and hamiltonian formalisms, Non-autonomous sytems, Skinner-rusk formulation, Variational Principles
Grup de recerca
DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
GEOMVAP - Geometria de Varietats i Aplicacions

Participants