We provide new insights into the contact Hamiltonian and Lagrangian formulations of
dissipative mechanical systems. In particular, we state a new form of the contact dynamical …

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 use a formulation of Noether's theorem for contact Hamiltonian systems to derive a
relation between the thermodynamic entropy and the Noether invariant associated with time …

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 contact Hamiltonian systems, the so‐called dissipated quantities are akin to conserved
quantities in classical Hamiltonian systems. In this article, a Noether's theorem for non …

We state conditions under which a symplectic Hamiltonian system admitting a certain type of
symmetry (a scaling symmetry) may be reduced to a type of contact Hamiltonian system, on …

We show that the contact dynamics obtained from the Herglotz variational principle can be
described as a constrained nonholonomic or vakonomic ordinary Lagrangian system …

In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent
and independent. In order to do so, we construct a Hamilton–Jacobi theory for these systems …

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 …

arxiv:1811.03367v1 [math.SG] 8 Nov 2018 Page 1 arxiv:1811.03367v1 [math.SG] 8 Nov 2018
CONTACT HAMILTONIAN SYSTEMS MANUEL LAINZ VALCÁZAR AND MANUEL DE LEÓN …