1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
Retraction maps: A seed of geometric integrators. Part II: Symmetry and reduction
María Barbero Liñán, Juan Carlos Marrero, David Martín de Diego
In this paper we use retraction and discretization maps (see [Barbero Liñán and Martín de Diego, 2022]) as a tool for deriving in a systematic way numerical integrators preserving…
Mechanical Hamiltonization of unreduced -simple Chaplygin systems
Alexandre Anahory Simoes, Juan Carlos Marrero, David Martín 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 Riemannian…
From retraction maps to symplectic-momentum numerical integrators
María Barbero-Liñán, Juan Carlos Marrero, David Martín de Diego
Retraction maps have been generalized to discretization maps in (Barbero Liñán and and Mart\'ın de Diego, 2022). Discretization maps are used to systematically derive numerical int…