Contact geometry allows us to describe some thermodynamic and dissipative systems. In
this paper we introduce a new geometric structure in order to describe time-dependent …

By means of the Jacobi structure associated with a contact structure, we use the so-called
evolution vector field to propose a new characterization of isolated thermodynamical …

We prove that, under some natural conditions, Hamiltonian systems on a contact manifold C
can be split into a Reeb dynamics on an open subset of C and a Liouville dynamics on a …

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 that …

In this paper we study vakonomic dynamics on contact systems with nonlinear constraints. In
order to obtain the dynamics, we consider a space of admisible paths, which are the ones …

In this article, we continue the program started in of exploring an important class of
thermodynamic systems from a geometric point of view. The contents of this paper and the …

Numerical methods that preserve geometric invariants of the system, such as energy,
momentum or the symplectic form, are called geometric integrators. Variational integrators …

We study the dynamics of contact mechanical systems on Lie groups that are invariant under
a Lie group action. Analogously to standard mechanical systems on Lie groups, existing …

Contact Hamiltonian systems are a generalization of the Hamiltonian systems of classical
mechanics. The action is added as an extra variable in phase space, and symplectic …

We study the dynamics of contact mechanical systems on Lie groups that are invariant under
a Lie group action. Analogously to standard mechanical systems on Lie groups, existing …