44 citations · 118 across the 12 of their papers we have counts for
3 papers · 1 filter
Singular lagrangian systems and variational constrained mechanics on Lie algebroids
D. Iglesias, J. C. Marrero, D. Martin de Diego +1
The purpose of this paper is describe Lagrangian Mechanics for constrained systems on Lie algebroids, a natural framework which covers a wide range of situations (systems on Lie gr…
Discrete Nonholonomic Lagrangian Systems on Lie Groupoids
D. Iglesias, J. C. Marrero, D. Martin de Diego +1
This paper studies the construction of geometric integrators for nonholonomic systems. We derive the nonholonomic discrete Euler-Lagrange equations in a setting which permits to de…
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…