3 papers
math.DG2026
Variational reduction of homogenous Lagrangian systems
Javier Fernández, Sergio Grillo, Juan Carlos Marrero +1
In this paper we show that a variational reduction procedure can be defined for Lagrangian systems subject to scaling symmetries (i.e. Lagrangian systems defined by a homogenous La…
math.NA2025
Retraction maps: A seed of geometric integrators. Part II: Symmetry and reduction
MarÃa Barbero Liñán, Juan Carlos Marrero, David MartÃn de Diego
In this paper we use retraction and discretization maps (see [Barbero Liñán and MartÃn de Diego, 2022]) as a tool for deriving in a systematic way numerical integrators preservi…
math.DG2024
Mechanical Hamiltonization of unreduced -simple Chaplygin systems
Alexandre Anahory Simoes, Juan Carlos Marrero, David MartÃn de Diego
In this paper, we prove that the trajectories of unreduced -simple Chaplygin kinetic systems are reparametrizations of horizontal geodesics with respect to a modified Riemannia…