17 citations · 33 across the 4 of their papers we have counts for
4 papers
Nonholonomic systems on Lie algebroids
Jorge Cortes, Manuel de Leon, Juan Carlos Marrero +1
This paper is a revised version of a previously posted paper in arxiv. The authors posted it as a new submission by mistake. The latest version of the paper can be found at arXiv:m…
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
D. Iglesias, J. C. Marrero, D. Martin de Diego +2
We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symmetry Lie group. Moreover, given an invariant Hamiltonian function we obtain the c…
Classical Field theory on Lie algebroids: multisymplectic formalism
Eduardo Martinez
The jet formalism for Classical Field theories is extended to the setting of Lie algebroids. We define the analog of the concept of jet of a section of a bundle and we study some o…
Mechanical control systems on Lie algebroids
Jorge Cortes, Eduardo Martinez
This paper considers control systems defined on Lie algebroids. After deriving basic controllability tests for general control systems, we specialize our discussion to the class of…