Ara es mostren els items 1-20 de 42

  • A new multisymplectic unified formalism for second order classical field theories 

    Prieto Martínez, Pedro Daniel; Román Roy, Narciso (American Institute of Mathematical Sciences, 2015-06-01)
    Article
    Accés obert
    We present a new multisymplectic framework for second-order 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 k-presymplectic Hamiltonian systems. Application to singular field theories 

    Gràcia Sabaté, Francesc Xavier; Martín Grillo, Rubén; Román Roy, Narciso (2009-03-10)
    Working paper
    Accés obert
    The k-symplectic 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 k-presymplectic 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), 2009-08-01)
    Article
    Accés obert
    The k-symplectic 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 (2006-02)
    Text en actes de congrés
    Accés obert
    Aquest 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 (1986-08)
    Article
    Accés obert
    The 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 Hamilton-Jacobi theory for higher-order autonomous systems 

    Colombo, Leonardo; De León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso (2014-06-13)
    Article
    Accés restringit per política de l'editorial
    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 formalisms. Thus, we state the corresponding ...
  • Geometric Hamilton-Jacobi theory for higher-order autonomous systems 

    Colombo, Leonardo; de León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso (2013-09-09)
    Report de recerca
    Accés obert
    The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the ambient of higher-order mechanical systems, both in the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding ...
  • Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems 

    Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2009-08-14)
    Report de recerca
    Accés obert
    The geometric formulation of Hamilton--Jacobi theory for systems with nonholonomic constraints is developed, following the ideas of the authors in previous papers. The relation between the solutions of the Hamilton--Jacobi ...
  • Geometric Hamilton–Jacobi Theory 

    Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2006-04-21)
    Article
    Accés obert
    The Hamilton–Jacobi problem is revisited bearing in mind the consequences arising from a possible bi-Hamiltonian structure. The problem is formulated on the tangent bundle for Lagrangian systems in order to avoid the bias ...
  • Hamilton-Jacobi 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, 2009-04)
    Capítol de llibre
    Accés obert
    We present a new setting of the geometric Hamilton-Jacobi theory by using the so-called time-evolution operator K. This new approach unifies both the Lagrangian and the Hamiltonian formulation of the problem developed in ...
  • Hamilton-Jacobi 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)
    Capítol de llibre
    Accés obert
    We present a new setting of the geometric Hamilton-Jacobi theory by using the so-called time-evolution operator K. This new approach unifies both the Lagrangian and the Hamiltonian formulation of the problem developed in ...
  • Hamilton-Jacobi theory in multisymplectic classical field theories 

    de León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso; Vilariño, Silvia (2015-04-08)
    Report de recerca
    Accés obert
    The geometric framework for the Hamilton-Jacobi theory developed in [14, 17, 39] is extended for multisymplectic first-order classical field theories. The Hamilton-Jacobi 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 (2005-06-20)
    Article
    Accés obert
    We consider Hamiltonian systems in first-order multisymplectic field theories. First we review the construction and properties of Hamiltonian systems in the so-called restricted multimomentum bundle using Hamiltonian ...
  • Higher-order Cartan symmetries in k-symplectic field theory 

    Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia (2008-04-30)
    Article
    Accés obert
    For k-symplectic 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 ...
  • Higher-order mechanics: variational principles and other topics 

    Prieto Martínez, Pedro Daniel; Román Roy, Narciso (American Institute of Mathematical Sciences, 2013-12)
    Article
    Accés obert
    After reviewing the Lagrangian-Hamiltonian unified formalism (i.e, the Skinner-Rusk formalism) for higher-order (non-autonomous) dynamical systems, we state a unified geometrical version of the Variational Principles which ...
  • k-cosymplectic formalism in classical field theory: the Skinner–Rusk approach 

    Rey, Angel M.; Román Roy, Narciso; Salgado, Modesto (2006-02-14)
    Article
    Accés obert
    The k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular they are stated for singular almost-regular systems. After that, both formalisms are unified ...
  • Lagrangian-Hamiltonian unified formalism for autonomous higher order dynamical systems 

    Prieto Martínez, Pedro Daniel; Román Roy, Narciso (2011-09-23)
    Article
    Accés restringit per acord de confidencialitat
    The Lagrangian-Hamiltonian unified formalism of R. Skinner and R. Rusk was originally stated for autonomous dynamical systems in classical mechanics. It has been generalized for non-autonomous first-order mechanical ...
  • Lagrangian-Hamiltonian unified formalism for autonomous higher-order dynamical systems 

    Prieto Martínez, Pedro Daniel; Román Roy, Narciso (2011-07-18)
    Report de recerca
    Accés restringit per acord de confidencialitat
    Research paper
  • Lie-algebroid formulation of k-cosymplectic classical field theories 

    Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia (2009)
    Comunicació de congrés
    Accés restringit per política de l'editorial
    The k-cosymplectic formalism is the generalization to field theories of the cosymplectic formalism, which is the geometric framework for describing non-autonomous dynamical systems. In [5], A. Weinstein introduced a new ...
  • Multisymplectic Lagrangian and Hamiltonian formalisms of classical field theories 

    Román Roy, Narciso (2009)
    Article
    Accés obert
    This 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 ...