Browsing by Author "Román Roy, Narciso"

A new multisymplectic unified formalism for second order classical field theories
Prieto Martínez, Pedro Daniel; Román Roy, Narciso (American Institute of Mathematical Sciences, 20150601)
Article
Open AccessWe present a new multisymplectic framework for secondorder classical field theories which is based on an extension of the unified LagrangianHamiltonian formalism to these kinds of systems. This model provides a straightforward ... 
Constraint algorithm for kpresymplectic Hamiltonian systems. Application to singular field theories
Gràcia Sabaté, Francesc Xavier; Martín Grillo, Rubén; Román Roy, Narciso (20090310)
Working paper
Open AccessThe ksymplectic formulation of field theories is especially simple, since only tangent and cotangent bundles are needed in its description. Its defining elements show a close relationship with those in the symplectic ... 
Constraint algorithm for kpresymplectic hamiltonian systems: application to singular field theories
Gràcia Sabaté, Francesc Xavier; Martín Grillo, Rubén; Román Roy, Narciso (World Scientific and Engineering Academy and Society (WSEAS), 20090801)
Article
Open AccessThe ksymplectic formulation of ﬁeld theories is specially simple, since only tangent and cotangent bundles are needed in its description. Its deﬁning elements show a close relationship with those in the symplectic formulation ... 
Curs de càlcul: una nova metodologia per a la impartició i gestió, basades en l'entorn Moodle
Estela Carbonell, M. Rosa; Guinovart Gisbert, Marta; Jarauta Bragulat, Eusebio; Xambó Descamps, Sebastián; Franch Bullich, Jaume; Román Roy, Narciso; Blanco Abellán, Mónica (200602)
Conference report
Open AccessAquest projecte dissenya un curs de matemàtiques usant els diferents recursos de Moodle. Els temes que es tracten en el curs corresponen bàsicament a les assignatures de Càlcul i Matemàtiques de diferents titulacions a ... 
Equivalence between the Hamiltonian and Lagrangian formalisms for constrained systems
Batlle Arnau, Carles; Gomis Torné, Joaquin; Pons Ràfols, Josep Maria; Román Roy, Narciso (198608)
Article
Open AccessThe equivalence between the Lagrangian and Hamiltonian formalism is studied for constraint systems. A procedure to construct the Lagrangian constraints from the Hamiltonian constraints is given. Those Hamiltonian constraints ... 
Geometric HamiltonJacobi theory for higherorder autonomous systems
Colombo, Leonardo; De León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso (20140613)
Article
Restricted access  publisher's policyThe geometric framework for the HamiltonJacobi theory is used to study this theory in the background of higherorder mechanical systems, in both the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding ... 
Geometric HamiltonJacobi theory for higherorder autonomous systems
Colombo, Leonardo; de León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso (20130909)
External research report
Open AccessThe geometric framework for the HamiltonJacobi theory is used to study this theory in the ambient of higherorder mechanical systems, both in the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding ... 
Geometric HamiltonJacobi theory for nonholonomic dynamical systems
Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (20090814)
External research report
Open AccessThe geometric formulation of HamiltonJacobi theory for systems with nonholonomic constraints is developed, following the ideas of the authors in previous papers. The relation between the solutions of the HamiltonJacobi ... 
Geometric Hamilton–Jacobi Theory
Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (20060421)
Article
Open AccessThe Hamilton–Jacobi problem is revisited bearing in mind the consequences arising from a possible biHamiltonian structure. The problem is formulated on the tangent bundle for Lagrangian systems in order to avoid the bias ... 
HamiltonJacobi theory and the evolution operator
Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Martínez, Eduardo; Marmo, Giuseppe; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (Prensas Univ. Zaragoza, 200904)
Part of book or chapter of book
Open AccessWe present a new setting of the geometric HamiltonJacobi theory by using the socalled timeevolution operator K. This new approach unifies both the Lagrangian and the Hamiltonian formulation of the problem developed in ... 
HamiltonJacobi theory and the evolution operator
Cariñena Marzo, José Fernando; Gràcia Sabaté, Francesc Xavier; Martínez Fernández, Eduardo; Marmo, Giuseppe; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (Universidad de Zaragoza, Prensas Universitarias de Zaragoza, 2009)
Part of book or chapter of book
Open AccessWe present a new setting of the geometric HamiltonJacobi theory by using the socalled timeevolution operator K. This new approach unifies both the Lagrangian and the Hamiltonian formulation of the problem developed in ... 
HamiltonJacobi theory in multisymplectic classical field theories
de León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso; Vilariño, Silvia (20150408)
External research report
Open AccessThe geometric framework for the HamiltonJacobi theory developed in [14, 17, 39] is extended for multisymplectic firstorder classical field theories. The HamiltonJacobi problema is stated for the Lagrangian and the ... 
Hamiltonian Systems in Multisymplectic Field Theories
Echeverría Enríquez, Arturo; León, Manuel de; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (20050620)
Article
Open AccessWe consider Hamiltonian systems in firstorder multisymplectic field theories. First we review the construction and properties of Hamiltonian systems in the socalled restricted multimomentum bundle using Hamiltonian ... 
Higherorder Cartan symmetries in ksymplectic field theory
Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia (20080430)
Article
Open AccessFor ksymplectic Hamiltonian field theories, we study infinitesimal transformations generated by certain kinds of vector fields which are not Noether symmetries, but which allow us to obtain conservation laws by means ... 
Higherorder mechanics: variational principles and other topics
Prieto Martínez, Pedro Daniel; Román Roy, Narciso (American Institute of Mathematical Sciences, 201312)
Article
Open AccessAfter reviewing the LagrangianHamiltonian unified formalism (i.e, the SkinnerRusk formalism) for higherorder (nonautonomous) dynamical systems, we state a unified geometrical version of the Variational Principles which ... 
kcosymplectic formalism in classical field theory: the Skinner–Rusk approach
Rey, Angel M.; Román Roy, Narciso; Salgado, Modesto (20060214)
Article
Open AccessThe kcosymplectic Lagrangian and Hamiltonian formalisms of firstorder field theories are reviewed and completed. In particular they are stated for singular almostregular systems. After that, both formalisms are unified ... 
LagrangianHamiltonian unified formalism for autonomous higher order dynamical systems
Prieto Martínez, Pedro Daniel; Román Roy, Narciso (20110923)
Article
Restricted access  confidentiality agreementThe LagrangianHamiltonian unified formalism of R. Skinner and R. Rusk was originally stated for autonomous dynamical systems in classical mechanics. It has been generalized for nonautonomous firstorder mechanical ... 
LagrangianHamiltonian unified formalism for autonomous higherorder dynamical systems
Prieto Martínez, Pedro Daniel; Román Roy, Narciso (20110718)
External research report
Restricted access  confidentiality agreementResearch paper 
Liealgebroid formulation of kcosymplectic classical field theories
Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia (2009)
Conference lecture
Restricted access  publisher's policyThe kcosymplectic formalism is the generalization to field theories of the cosymplectic formalism, which is the geometric framework for describing nonautonomous dynamical systems. In [5], A. Weinstein introduced a new ... 
Multisymplectic Lagrangian and Hamiltonian formalisms of classical field theories
Román Roy, Narciso (2009)
Article
Open AccessThis review paper is devoted to presenting the standard multisymplectic formulation for describing geometrically classical field theories, both the regular and singular cases. First, the main features of the Lagrangian ...