8 citations · 10 across the 9 of their papers we have counts for
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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…
Lagrangian reduction of nonholonomic discrete mechanical systems by stages
Javier Fernandez, Cora Tori, Marcela Zuccalli
In this work we introduce a category of discrete-time dynamical systems, that we call discrete Lagrange--D'Alembert--Poincaré systems, and study some of its elementary prop…
Lagrangian reduction of discrete mechanical systems by stages
Javier Fernandez, Cora Tori, Marcela Zuccalli
In this work we introduce a category of discrete Lagrange--Poincare systems LP_d and study some of its properties. In particular, we show that the discrete mechanical systems and t…
Lagrangian reduction of nonholonomic discrete mechanical systems
Javier Fernandez, Cora Tori, Marcela Zuccalli
In this paper we propose a process of lagrangian reduction and reconstruction for nonholonomic discrete mechanical systems where the action of a continuous symmetry group makes the…