10 citations · 19 across the 8 of their papers we have counts for
9 papers
Geometric integrators for adiabatically closed simple thermodynamic systems
Jaime Bajo, Manuel de León, Asier López-Gordón
A variational formulation for non-equilibrium thermodynamics was developed by Gay-Balmaz and Yoshimura. In a recent article, the first two authors of the present paper introduced p…
A geometric description of some thermodynamical systems
Manuel de León, Jaime Bajo
In this paper we show how almost cosymplectic structures are a natural framework to study thermodynamical systems. Indeed, we are able to obtain the same evolution equations obtain…
Graded Poisson and Graded Dirac structures
Manuel de León, Rubén Izquierdo-López
There have been several attempts in recent years to extend the notions of symplectic and Poisson structures in order to create a suitable geometrical framework for classical field…
Coisotropic reduction in Multisymplectic Geometry
Manuel de León, Rubén Izquierdo-López
In this paper we study coisotropic reduction in multisymplectic geometry. On the one hand, we give an interpretation of Hamiltonian multivector fields as Lagrangian submanifolds an…
The Hamilton--Jacobi theory for contact Hamiltonian systems
Manuel de León, Manuel Laínz, Álvaro Muñiz--Brea
The aim of this paper is to develop a Hamilton--Jacobi theory for contact Hamiltonian systems. We find several forms for a suitable Hamilton-Jacobi equation accordingly to the Hami…
Optimal control, contact dynamics and Herglotz variational problem
Manuel de León, Manuel Lainz, Miguel C. Muñoz-Lecanda
In this paper we combine two main topics in mechanics and optimal control theory: contact Hamiltonian systems and Pontryagin Maximum Principle. As an important result, among others…