From the 1 of 3 linked papers with an AI index.
3 papers
Discrete-time generalized canonical transformations for non-autonomous systems
Leonardo Colombo, David Martin de Diego, Riccardo Muradore +2
The paper introduces a geometric discretization method for time‑dependent Hamiltonian systems that uses generalized canonical transformations to create structure‑preserving integra…
Generalized hybrid momentum maps and reduction by symmetries of forced mechanical systems with inelastic collisions
Leonardo J. Colombo, Manuel de León, MarÃa Emma Eyrea Irazú +1
This paper discusses reduction by symmetries for autonomous and non-autonomous forced mechanical systems with inelastic collisions. In particular, we introduce the notion of genera…
Liouville-Arnold theorem for homogeneous symplectic and contact Hamiltonian systems
Leonardo Colombo, Manuel de León, Manuel Lainz +1
A Hamiltonian system is completely integrable (in the sense of Liouville) if there exist as many independent integrals of motion in involution as the dimension of the configuration…