Higher-order Mechanics: Variational Principles and other topics
Abstract
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.
Cite
@article{arxiv.1201.4102,
title = {Higher-order Mechanics: Variational Principles and other topics},
author = {Pedro D. Prieto-Martínez and Narciso Román-Roy},
journal= {arXiv preprint arXiv:1201.4102},
year = {2014}
}
Comments
New version of the paper "Variational principles for higher-order dynamical systems", which was presented in the "III Iberoamerican Meeting on Geometry, Mechanics and Control" (Salamanca, 2012). The title is changed. A detailed review is added. Sections containing results about variational principles are enlarged with additional comments, diagrams and summarizing results. Bibliography is updated