7 citations · 8 across the 4 of their papers we have counts for
4 papers
Morse families and Dirac systems
M. Barbero-Liñán, H. Cendra, E. García-Toraño Andrés +1
Dirac structures and Morse families are used to obtain a geometric formalism that unifies most of the scenarios in mechanics (constrained calculus, nonholonomic systems, optimal co…
Morse families in optimal control problems
María Barbero-Liñán, David Iglesias Ponte, David Martín de Diego
We geometrically describe optimal control problems in terms of Morse families in the Hamiltonian framework. These geometric structures allow us to recover the classical first order…
Lagrangian submanifolds and Hamilton-Jacobi equation
M. Barbero-Liñán, M. de León, D. Martín de Diego
Lagrangian submanifolds are becoming a very essential tool to generalize and geometrically understand results and procedures in the area of mathematical physics. Here we use genera…
Some applications of semi-discrete variational integrators to classical field theories
Manuel de Leon, Juan Carlos Marrero, David Martin de Diego
We develop a semi-discrete version of discrete variational mechanics with applications to numerical integration of classical field theories. The geometric preservation properties a…