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 …

This paper contains a fully geometric formulation of the General Equation for Non-
Equilibrium Reversible-Irreversible Coupling (GENERIC). Although GENERIC, which is the …

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 …

We propose a generalization of the classical Tulczyjew triple as a geometric tool in
Hamiltonian and Lagrangian formalisms which serves for contact manifolds. The role of the …

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 …

In this paper, we introduce implicit Hamiltonian dynamics in the framework of contact
geometry in two different ways: first, we introduce classical implicit Hamiltonian dynamics on …

Cosymplectic geometry has been proven to be a very useful geometric background to
describe time-dependent Hamiltonian dynamics. In this work, we address the globalization …

We propose a conformal generalization of the reversible Vlasov equation of kinetic plasma
dynamics, called conformal kinetic theory. To arrive at this formalism, we start with the …

In this paper, we propose a discrete Hamilton--Jacobi theory for (discrete) Hamiltonian
dynamics defined on a (discrete) contact manifold. To this end, we first provide a novel …