2 citations · 2 across the 3 of their papers we have counts for
4 papers
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…
Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
Santiago Capriotti, Viviana Alejandra Díaz, Eduardo García-Toraño Andrés +1
We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. We apply the polysymplectic reduction theorem for both types of field equations and…
Generalized variational calculus for continuous and discrete mechanical systems
Viviana Alejandra Díaz, David Martín de Diego
In this paper, we consider a generalization of variational calculus which allows us to consider in the same framework different cases of mechanical systems, for instance, Lagrangia…
Lagrange-d'Alembert-Poincarè equations by several stages
Hernán Cendra, Viviana Alejandra Díaz
The aim of this paper is to write explicit expression in terms of a given principal connection of the Lagrange-d'Alembert-Poincarè equations in several stages. This is obtained by…