In order to study the connections between Lagrangian and Hamiltonian formalisms
constructed from a—perhaps singular—higher‐order Lagrangian, some geometric …

We present a unified geometric framework for describing both the Lagrangian and
Hamiltonian formalisms of contact autonomous mechanical systems, which is based on the …

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 …

We present a covariant multisymplectic formulation for the Einstein-Hilbert model of general
relativity. As it is described by a second-order singular Lagrangian, this is a gauge field …

Abstract The Lagrangian–Hamiltonian unified formalism of Skinner and Rusk was originally
stated for autonomous dynamical systems in classical mechanics. It has been generalized …

A geometric framework for constrained dynamical systems is presented. It allows to describe
in a unified way a general type of first order singular differential equations on a manifold; …

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 …

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 geometric framework for the Hamilton–Jacobi theory is used to study this theory in the
background of higher-order mechanical systems, in both the Lagrangian and Hamiltonian …