Exploració per autor "Román Roy, Narciso"
Ara es mostren els items 93-109 de 109
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Skinner-Rusk formalism for optimal control
Barbero Liñán, María; Echeverría Enríquez, Arturo; Martín de Diego, David; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2006-12)
Article
Accés obertIn 1983, the dynamics of a mechanical system was represented by a first-order system on a suitable phase space by R. Skinner and R. Rusk. The corresponding unified formalism developed for optimal control systems allows us ... -
Skinner-Rusk unified formalism for optimal control systems and applications
Barbero Liñán, María; Echeverría Enríquez, Arturo; Martín de Diego, David; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2007-05-15)
Article
Accés obertA geometric approach to time-dependent optimal control problems is proposed. This formulation is based on the Skinner and Rusk formalism for Lagrangian and Hamiltonian systems. The corresponding unified formalism developed ... -
Skinner–Rusk formalism for k-contact systems
Gràcia Sabaté, Francesc Xavier; Rivas Guijarro, Xavier; Román Roy, Narciso (2022-02-01)
Article
Accés obertIn previous papers, a geometric framework has been developed to describe non-conservative field theories as a kind of modified Lagrangian and Hamiltonian field theories. This approach is that of k-contact Hamiltonian ... -
Sobre las interacciones fundamentales, las partículas elementales y las teorías de campos
Román Roy, Narciso (Escola Tècnica Superior d'Enginyers de Telecomunicació de Barcelona, 1997)
Article
Accés obert -
Some properties of multisymplectic manifolds
Román Roy, Narciso (Springer, 2019-10-01)
Capítol de llibre
Accés restringit per política de l'editorialThis lecture is devoted to review some of the main properties of multisymplectic geometry. In particular, after reminding the standard definition of multisymplectic manifold, we introduce its characteristic submanifolds, ... -
Some topics concerning the theory of singular dynamical systems
Román Roy, Narciso (2006-03-01)
Article
Accés obertSome subjects related to the geometric theory of singular dynamical systems are reviewed in this paper. In particular, the following two matters are considered: the theory of canonical transformations for presymplectic ... -
Structural aspects of Hamilton–Jacobi theory
Cariñena Marzo, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez Fernandez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2016-02-01)
Article
Accés obertIn our previous papers [11, 13] we showed that the Hamilton–Jacobi problem can be regarded as a way to describe a given dynamics on a phase space manifold in terms of a family of dynamics on a lower-dimensional manifold. ... -
Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory
Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia (2007-03-12)
Article
Accés obertThis paper is devoted to studying symmetries of k-symplectic Hamiltonian and Lagrangian first-order classical field theories. In particular, we define symmetries and Cartan symmetries and study the problem of ... -
Teoría de la relatividad general: 100 años de las ecuaciones de Einstein de la gravitación
Román Roy, Narciso (2015-11-25)
Audiovisual
Accés obertEl 25 de novembre de 1915, Albert Einstein va presentar la forma final de les equacions de camp de la Gravitació en l'Acadèmia Prussiana de Ciències de Berlín, culminant d'aquesta manera la seva Teoria de la Relativitat ... -
The second-order problem for k-presymplectic Lagrangian field theories: application to the Einstein–Palatini model
Adame Carrillo, David; Gaset Rifà, Jordi; Román Roy, Narciso (springer-Verlag, 2022-01-01)
Article
Accés obertIn general, the system of 2nd-order partial differential equations made of the Euler–Lagrange equations of classical field theories are not compatible for singular Lagrangians. This is the so-called second-order problem. ... -
Unified formalism for non-autonomous mechanical systems
Barbero Liñán, María; Echeverría Enríquez, Arturo; Martín de Diego, David; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2008-02-29)
Article
Accés obertWe present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of regular and non-regular time-dependent mechanical systems, which is based on the approach of Skinner and Rusk ... -
Unified formalism for non-autonomous mechanical systems
Barbero Liñán, María; Echeverría Enríquez, Arturo; Martín de Diego, David; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (AIP, 2008-06-01)
Working paper
Accés obertWe present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of regular and non-regular time-dependent mechanical systems, which is based on the approach of Skinner and Rusk (1983). ... -
Unified formalism for the generalized kth-order Hamilton-Jacobi problem
Colombo, Leonardo; De León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso (2014-10-01)
Article
Accés obertThe geometric formulation of the Hamilton-Jacobi theory enables us to generalize it to systems of higher-order ordinary differential equations. In this work we introduce the unified Lagrangian-Hamiltonian formalism for the ... -
Unified formalism for the generalized kth-order Hamilton-Jacobi problem
Colombo, Leonardo; León, Manuel de; Prieto Martínez, Pedro Daniel; Román Roy, Narciso (2013-10-03)
Report de recerca
Accés obertThe geometric formulation of the Hamilton-Jacobi theory enables u s to generalize it to systems of higher-order ordinary differential equations. In this w ork we introduce the unified Lagrangian-Hamiltonian formalism ... -
Unified Lagrangian-Hamiltonian formalism for contact systems
De León, Manuel; Gaset Rifà, Jordi; Lainz Valcázar, Manuel; Rivas Guijarro, Xavier; Román Roy, Narciso (2020-06-23)
Article
Accés obertWe 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 the pioneering work of R. Skinner and R. ... -
Variational principles and symmetries on fibered multisymplectic manifolds
Gaset Rifà, Jordi; Prieto Martínez, Pedro Daniel; Román Roy, Narciso (2016-12-01)
Article
Accés obertThe standard techniques of variational calculus are geometrically stated in the ambient of fiber bundles endowed with a (pre)multi-symplectic structure. Then, for the corresponding variational equations, conserved quantities ... -
Variational principles for multisymplectic second-order classical field theories
Román Roy, Narciso; Prieto Martínez, Pedro Daniel (2015-09-01)
Article
Accés obertWe state a unified geometrical version of the variational principles for second-order classical field theories. The standard Lagrangian and Hamiltonian variational principles and the corresponding field equations are ...