3 papers
math.NA2023
A new perspective on symplectic integration of constrained mechanical systems via discretization maps
María Barbero Liñán, David Martín de Diego, Rodrigo T. Sato Martín 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…
math-ph2017
The interplay between Dirac systems, Morse families and Interconnection
M. Barbero-Liñán, H. Cendra, E. García-Toraño Andrés +1
We provide a generalization of the notion of Dirac system by using Morse families to intrinsically embrace the dynamics associated with different physical systems such as constrain…
math.OC2012
-symplectic Pontryagin's Maximum Principle for some families of PDEs
María Barbero-Liñán, Miguel C. Muñoz-Lecanda
An optimal control problem associated with the dynamics of the orientation of a bipolar molecule in the plane can be understood by means of tools in differential geometry. For firs…