Recent Submissions

  • Geometric Hamilton-Jacobi theory for higher-order autonomous systems 

    Colombo, Leonardo; de León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso (2013-09-09)
    External research report
    Open Access
    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 ...
  • 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)
    External research report
    Open Access
    The 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 ...
  • Reduction of polysymplectic manifolds 

    Román Roy, Narciso; Marrero González, Juan Carlos; Salgado Seco, Modesto; Vilariño, Silvia (2013-06-06)
    External research report
    Open Access
    The aim of this paper is to generalize the classical Marsden- Weinstein reduction procedure for symplectic manifolds to polysymplectic manifolds in or der to obtain quotient manifolds which in- herit the polysymplectic ...
  • Lagrangian-Hamiltonian unified formalism for autonomous higher-order dynamical systems 

    Prieto Martínez, Pedro Daniel; Román Roy, Narciso (2011-07-18)
    External research report
    Restricted access - confidentiality agreement
    Research paper
  • On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory 

    Marrero González, Juan Carlos; Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia (2010-09-15)
    External research report
    Open Access
    This paper is devoted to studying symmetries of certain kinds of k-cosymplectic Hamiltonian systems in first-order classical field theories. Thus, we introduce a particular class of symmetries and study the problem of ...
  • 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)
    External research report
    Open Access
    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 ...
  • Conservació de l'estructura PHS en reduccions d'ordre per truncament equilibrat 

    Ras Sabido, Antoni (2008-01-16)
    External research report
    Open Access

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