3 papers
Retraction maps in optimal control of nonholonomic systems
Alexandre Anahory Simoes, MarÃa Barbero Liñán, Anthony Bloch +2
In this paper, we compare the performance of different numerical schemes in approximating Pontryagin's Maximum Principle's necessary conditions for the optimal control of nonholono…
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…
A new perspective on symplectic integration of constrained mechanical systems via discretization maps
MarÃa Barbero Liñán, David MartÃn de Diego, Rodrigo T. Sato MartÃn de Almagro
A new geometric procedure to construct symplectic methods for constrained mechanical systems is developed in this paper. The definition of a map coming from the notion of retractio…