36 citations · 78 across the 27 of their papers we have counts for
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math.SG2024
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…
cs.LG2024
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…
math.DG2024
Remarks on structures and preservation in forced discrete mechanical systems of Routh type
Matías I. Caruso, Javier Fernández, Cora Tori +1
We study a type of forced discrete mechanical system -- that we name of Routh type -- whose (discrete) time-flow preserves a symplectic structure on . That…