Now showing items 1-10 of 10

  • Cotangent bundle reduction with singularities 

    Rodríguez Olmos, Miguel Andrés (2010)
    Lecture
    Open Access
  • 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 ...
  • 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
    Restricted access - publisher's policy
    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 ...
  • k-cosymplectic formalism in classical field theory: the Skinner–Rusk approach 

    Rey, Angel M.; Román Roy, Narciso; Salgado, Modesto (2006-02-14)
    Article
    Open Access
    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 Lie subalgebroids of the canonical symplectic Lie algebroid 

    Aymerich Valls, Mónica (Universitat Politècnica de Catalunya, 2011-02)
    Master thesis
    Open Access
    It is well-known that the Poisson reduction of a hamiltonian system on the cotangent bundle of a manifold produces a hamiltonian system on a linear Poisson manifold. On the other hand, linear Poisson structures on a vector ...
  • Lie-algebroid formulation of k-cosymplectic classical field theories 

    Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia (2009)
    Conference lecture
    Restricted access - publisher's policy
    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 ...
  • 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 ...
  • Rigidity of hamiltonian actions on poisson manifolds 

    Miranda Galcerán, Eva; Tien Zung, Nguyen; Monnier, Philippe (2012)
    Article
    Restricted access - publisher's policy
  • Some topics concerning the theory of singular dynamical systems 

    Román Roy, Narciso (2006-03-01)
    Article
    Open Access
    Some 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 ...
  • Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory 

    Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia (2007-03-12)
    Article
    Open Access
    This 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 ...