7 citations · 13 across the 2 of their papers we have counts for
10 papers
Symmetries and gauge symmetries in multisymplectic first and second-order Lagrangian field theories: electromagnetic and gravitational fields
Jordi Gaset, Narciso Román-Roy
Symmetries and, in particular, Cartan (Noether) symmetries and conserved quantities (conservation laws) are studied for the multisymplectic formulation of first and second order La…
An overview of the Hamilton--Jacobi theory: the classical and geometrical approaches and some extensions and applications
Narciso Román-Roy
This work is devoted to review the modern geometric description of the Lagrangian and Hamiltonian formalisms of the Hamilton--Jacobi theory. The relation with the "classical" Hamil…
Higher-order contact mechanics
Manuel de León, Jordi Gaset, Manuel Laínz +2
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…
Unified Lagrangian-Hamiltonian formalism for contact systems
Manuel de León, Jordi Gaset, Manuel Laínz +2
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of contact autonomous mechanical systems, which is based on the approach of t…
Griffiths Variational Multisymplectic Formulation for Lovelock Gravity
Santiago Capriotti, Jordi Gaset, Narciso Román-Roy +1
This work is mainly devoted to constructing a multisymplectic description of Lovelock's gravity, which is an extension of General Relativity. We establish a Griffiths variational p…
A contact geometry framework for field theories with dissipation
Jordi Gaset, Xavier Gràcia, Miguel C. Muñoz-Lecanda +2
We develop a new geometric framework suitable for dealing with Hamiltonian field theories with dissipation. To this end we define the notions of -contact structure and -conta…