We propose a novel approach to contact Hamiltonian mechanics which, in contrast to the
one dominating in the literature, serves also for non-trivial contact structures. In this …

In this paper we study coisotropic reduction in different types of dynamics according to the
geometry of the corresponding phase space. The relevance of coisotropic reduction is …

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 …

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 …

A new geometric structure inspired by multisymplectic and contact geometries, which we call
multicontact structure, is developed to describe non-conservative classical field theories …

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 …

This paper provides a new geometric framework to describe non-conservative field theories
with explicit dependence on the space–time coordinates by combining the k-cosymplectic …

We show that contact reductions can be described in terms of symplectic reductions in the
traditional Marsden–Weinstein–Meyer as well as the constant rank picture. The point is that …

A Lie system is a time-dependent system of differential equations describing the integral
curves of a time-dependent vector field that can be considered as a curve in a finite …

In this paper we present a unified Lagrangian–Hamiltonian geometric formalism to describe
time-dependent contact mechanical systems, based on the one first introduced by K …