1 citations · 1 across the 5 of their papers we have counts for
5 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…
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…
Lagrangian reduction of forced discrete mechanical systems
Matías I. Caruso, Javier Fernández, Cora Tori +1
In this paper we propose a process of Lagrangian reduction and reconstruction for symmetric discrete-time mechanical systems acted on by external forces, where the symmetry group a…
Discrete Mechanical Systems in a Dirac Setting: a Proposal
Matías I. Caruso, Javier Fernández, Cora Tori +1
In these notes, we present an alternative version of discrete Dirac mechanics using Dirac structures. We first establish a notion of 'continuous Dirac system' and then propose a de…