98 citations · 212 across the 6 of their papers we have counts for
7 papers
Contact Dynamics versus Legendrian and Lagrangian Submanifolds
Oğul Esen, Manuel Lainz Valcázar, Manuel de León +1
We are proposing Tulczyjew's triple for contact dynamics. The most important ingredients of the triple, namely symplectic diffeomorphisms, special symplectic manifolds, and Morse f…
The geometry of some thermodynamic systems
Alexandre Anahory Simoes, David Martín de Diego, Manuel Lainz Valcázar +1
In this article, we continue the program started in our previous article of exploring an important class of thermodynamic systems from a geometric point of view. In order to model…
On the geometry of discrete contact mechanics
Alexandre Anahory Simoes, David Martín de Diego, Manuel de León +1
In this paper, we continue the construction of variational integrators adapted to contact geometry started in \cite{VBS}, in particular, we introduce a discrete Herglotz Principle…
Contact Hamiltonian systems with nonholonomic constraints
Manuel de León, Víctor Manuel Jiménez, Manuel Lainz Valcázar
In this article we develop a theory of contact systems with nonholonomic constraints. We obtain the dynamics from Herglotz's variational principle, by restricting the variations so…
Infinitesimal symmetries in Contact Hamiltonian systems
Manuel de León, Manuel Lainz Valcázar
In this paper, we extend the well-known Noether theorem for Lagrangian systems to contact Lagrangian systems. We introduce a classification of infinitesimal symmetries and obtain t…
Singular Lagrangians and precontact Hamiltonian Systems
Manuel de León, Manuel Lainz Valcázar
In this paper we discuss singular Lagrangian systems on the framework of contact geometry. These systems exhibit a dissipative behavior in contrast with the symplectic scenario. We…
Contact Hamiltonian Systems
Manuel Lainz Valcázar, Manuel de León
In this paper we study Hamiltonian systems on contact manifolds, which is an appropriate scenario to discuss dissipative systems. We prove a coisotropic reduction theorem similar t…