8 papers
Brackets in multicontact geometry and multisymplectization
Manuel de León, Rubén Izquierdo-López, Xavier Rivas
In this paper we introduce a graded bracket of forms on multicontact manifolds. This bracket satisfies a graded Jacobi identity as well as two different versions of the Leibniz rul…
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…
Generalized hybrid momentum maps and reduction by symmetries of forced mechanical systems with inelastic collisions
Leonardo J. Colombo, Manuel de León, MarÃa Emma Eyrea Irazú +1
This paper discusses reduction by symmetries for autonomous and non-autonomous forced mechanical systems with inelastic collisions. In particular, we introduce the notion of genera…
Liouville-Arnold theorem for homogeneous symplectic and contact Hamiltonian systems
Leonardo Colombo, Manuel de León, Manuel Lainz +1
A Hamiltonian system is completely integrable (in the sense of Liouville) if there exist as many independent integrals of motion in involution as the dimension of the configuration…
Practical Introduction to Action-Dependent Field Theories
Manuel de León, Jordi Gaset RifÃ, Miguel C. Muñoz-Lecanda +2
Action-dependent field theories are systems where the Lagrangian or Hamiltonian depends on new variables that encode the action. They model a larger class of field theories, includ…
Double groupoids of composites: applications to uniformity
V. M. Jiménez, M. De León, M. Epstein
In this paper we present a geometrical framework to study the uniformity of a composite material by means of double groupoid theory. The notions of vertical and horizontal uniformi…