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math.DG2026
Lagrangian reduction of symmetric discrete mechanical systems: a survey
MatÃas 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…
math.DG2026
Remarks on structures and preservation in forced discrete mechanical systems of Routh type
MatÃas 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…