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 …

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

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

We are proposing Tulczyjew's triple for contact dynamics. The most important ingredients of
the triple, namely symplectic diffeomorphisms, special symplectic manifolds, and Morse …

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 …

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 previous papers, a geometric framework has been developed to describe non-
conservative field theories as a kind of modified Lagrangian and Hamiltonian field theories …

We present a complete theory of higher-order autonomous contact mechanics, which allows
us to describe higher-order dynamical systems with dissipation. The essential tools for the …

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 …