In this survey, we review the classical Hamilton–Jacobi theory from a geometric point of view
in different geometric backgrounds. We propose a Hamilton–Jacobi equation for different …

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 …

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 …

This paper discusses the way that energy and entropy can be regarded as storage functions
with respect to supply rates corresponding to the power and thermal ports of the …