Wednesday, December 19, 2012

1201.4102 (Pedro D. Prieto-Martínez et al.)

Higher-order Mechanics: Variational Principles and other topics    [PDF]

Pedro D. Prieto-Martínez, Narciso Román-Roy
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.
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