Higher-order Variational Calculus on Lie algebroids
Mathematical Physics
2015-01-27 v1 Dynamical Systems
math.MP
Optimization and Control
Abstract
The equations for the critical points of the action functional defined by a Lagrangian depending on higher-order derivatives of admissible curves on a Lie algebroid are found. The relation with Euler-Poincar\'e and Lagrange Poincar\'e type equations is studied. Reduction and reconstruction results for such systems are established.
Cite
@article{arxiv.1501.06520,
title = {Higher-order Variational Calculus on Lie algebroids},
author = {Eduardo Martínez},
journal= {arXiv preprint arXiv:1501.06520},
year = {2015}
}