36 citations · 78 across the 27 of their papers we have counts for
27 papers
Variational integrators using forced discrete Hamiltonian systems
M. I. Caruso, J. Fernandez, C. I. Tori +1
We study discrete Hamiltonian systems defined on cotangent bundles that are subjected to external forces, whose trajectories are determined by a discrete variational principle. We…
Lagrangian reduction of symmetric discrete mechanical systems: a survey
Matías I. Caruso, Javier Fernández, Cora Tori +1
In this note we survey some of our results on the Lagrangian reduction of discrete-time mechanical systems (DMSs). It is intended as an introduction to the general ideas that we us…
Reduction of hybrid Hamiltonian systems with non-equivariant momentum maps
Leonardo Colombo, María Emma Eyrea Irazú, María Eugenia García +2
We develop a reduction scheme à la Marsden-Weinstein-Meyer for hybrid Hamiltonian systems. Our method does not require the momentum map to be equivariant, neither to be preserved b…
Homogeneous bi-Hamiltonian structures and integrable contact systems
Leonardo Colombo, Manuel de León, María Emma Eyrea Irazú +1
Bi-Hamiltonian structures can be utilised to compute a maximal set of functions in involution for certain integrable systems, given by the eigenvalues of the recursion operator rel…
Symplectization of certain Hamiltonian systems in fibered almost-symplectic manifolds
Francesco Fassò, Nicola Sansonetto
There is an important difference between Hamiltonian-like vector fields in an almost-symplectic manifold , compared to the standard case of a symplectic manifold: in the alm…
Lagrangian neural networks for nonholonomic mechanics
Viviana Alejandra Diaz, Leandro Martin Salomone, Marcela Zuccalli
Lagrangian Neural Networks (LNNs) are a powerful tool for addressing physical systems, particularly those governed by conservation laws. LNNs can parametrize the Lagrangian of a sy…