18 citations · 28 across the 16 of their papers we have counts for
3 papers · 1 filter
Reduction by symmetries of contact mechanical systems on Lie groups
Alexandre Anahory Simoes, Leonardo Colombo, Manuel de León +3
We study the dynamics of contact mechanical systems on Lie groups that are invariant under a Lie group action. Analogously to standard mechanical systems on Lie groups, existing sy…
A note on Hybrid Routh reduction for time-dependent Lagrangian systems
Leonardo J. Colombo, Maria Emma Eyrea Irazú, Eduardo García-Toraño Andrés
This note discusses Routh reduction for hybrid time-dependent mechanical systems. We give general conditions on whether it is possible to reduce by symmetries a hybrid time-depende…
Lagrangian Lie subalgebroids generating dynamics for second-order mechanical systems on Lie algebroids
Ligia Abrunheiro, Leonardo Colombo
The study of mechanical systems on Lie algebroids permits an understanding of the dynamics described by a Lagrangian or Hamiltonian function for a wide range of mechanical systems…