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 …

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 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 …

Graded bundles are a class of graded manifolds which represent a natural generalisation of
vector bundles and include the higher order tangent bundles as canonical examples. We …

The multisymplectic formalism of field theories developed by many mathematicians over the
last fifty years is extended in this work to deal with manifolds that have boundaries. In …

Tulczyjew triple for physical systems with configuration manifold equipped with Lie group
structure is constructed and discussed. The case of systems invariant with respect to group …

We present a new multisymplectic framework for second-order classical field theories which
is based on an extension of the unified Lagrangian-Hamiltonian formalism to these kinds of …

In this paper we develop a geometric approach to higher order mechanics on graded
bundles in both, the Lagrangian and Hamiltonian formalism, via the recently discovered …

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 …

The aim of this work is to study, from an intrinsic and geometric point of view, second-order
constrained variational problems on Lie algebroids, that is, optimization problems defined by …