Ara es mostren els items 8-27 de 41

    • 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 quantization via cotangent models 

      Miranda Galcerán, Eva; Mir Garcia, Pau (2022-05-05)
      Report de recerca
      Accés obert
      In this article we give a universal model for geometric quantization associated to a real polarization given by an integrable system with non-degenerate singularities. This universal model goes one step further than the ...
    • Geometric quantization via cotangent models 

      Mir Garcia, Pau; Miranda Galcerán, Eva (2021-09)
      Article
      Accés obert
      In this article we give a universal model for geometric quantization associated to a real polarization given by an integrable system with non-degenerate singularities. This universal model goes one step further than the ...
    • Higher-order contact mechanics 

      De León, Manuel; Gaset Rifà, Jordi; Lainz Valcázar, Manuel; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (Elsevier, 2021-02-01)
      Article
      Accés obert
      We present a complete theory of higher-order autonomous contact mechanics, which allows us to describe higher-order dynamical systems with dissipation. The essential tools for the theory are the extended higher-order tangent ...
    • Integrable Systems in singular symplectic manifolds 

      Cardona Aguilar, Robert (Universitat Politècnica de Catalunya, 2018-07)
      Projecte Final de Màster Oficial
      Accés obert
      En aquest treball es presenten les nocions de geometria simplèctica, de Poisson i b-simplèctica. En cada cas està demostrat un teorema de Arnold-Liouville per a sistemes integrables. Desprès de demostrar una part d'aquests ...
    • Integrable systems on singular symplectic manifolds: from local to global 

      Cardona Aguilar, Robert; Miranda Galcerán, Eva (2021-09-22)
      Article
      Accés obert
      In this article, we consider integrable systems on manifolds endowed with symplectic structures with singularities of order one. These structures are symplectic away from a hypersurface where the symplectic volume goes ...
    • Integrable systems on singular symplectic manifolds: from local to global 

      Miranda Galcerán, Eva; Cardona, Robert (2021-02-03)
      Report de recerca
      Accés obert
      In this article, we consider integrable systems on manifolds endowed with symplectic structures with singularities of order one. These structures are symplectic away from a hypersurface where the symplectic volume goes ...
    • 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 Lie subalgebroids of the canonical symplectic Lie algebroid 

      Aymerich Valls, Mónica (Universitat Politècnica de Catalunya, 2011-02)
      Projecte Final de Màster Oficial
      Accés obert
      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)
      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 ...
    • More insights into symmetries in multisymplectic field theories 

      Guerra IV, Arnoldo; Román Roy, Narciso (2023-02-01)
      Article
      Accés obert
      This work provides a general overview for the treatment of symmetries in classical field theories and (pre)multisymplectic geometry. The geometric characteristics of the relation between how symmetries are interpreted in ...
    • Morse theory and Floer homology 

      Brugués Mora, Joaquim (Universitat Politècnica de Catalunya, 2019-01)
      Projecte Final de Màster Oficial
      Accés obert
      Morse homology studies the topology of smooth manifolds by examining the critical points of a real-valued function defined on the manifold, and connecting them with the negative gradient of the function. Rather surprisingly, ...
    • Multicontact formulation for non-conservative field theories 

      de León Rodríguez, Manuel; Gaset Rifà, Jordi; Muñoz Lecanda, Miguel Carlos; Rivas Guijarro, Xavier; Román Roy, Narciso (Institute of Physics (IOP), 2023-01-13)
      Article
      Accés obert
      A new geometric structure inspired by multisymplectic and contact geometries, which we call multicontact structure, is developed to describe non-conservative classical field theories. Using the differential forms that ...
    • Multisymplectic unified formalism for Einstein-Hilbert gravity 

      Gaset Rifà, Jordi; Román Roy, Narciso (2018-03-01)
      Article
      Accés obert
      We present a covariant multisymplectic formulation for the Einstein-Hilbert model of General Relativity. As it is described by a second-order singular Lagrangian, this is a gauge field theory with constraints. The use of ...
    • New multisymplectic approach to the Metric-Affine (Einstein-Palatini) action for gravity 

      Gaset Rifà, Jordi; Román Roy, Narciso (American Institute of Mathematical Sciences, 2019-09-01)
      Article
      Accés obert
      We present a covariant multisymplectic formulation for the Einstein-Palatini (or Metric-Affine) model of General Relativity (without energy-matter sources). As it is described by a first-order affine Lagrangian (in the ...
    • 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)
      Report de recerca
      Accés obert
      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 ...
    • On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields 

      Miranda Galcerán, Eva; Oms, Cédric; Peralta-Salas, Daniel (2021-10-07)
      Report de recerca
      Accés obert
      Motivated by Poincare’s orbits going to infinity in the (restricted) three-body problem ´ (see [29] and [7]), we investigate the generic existence of heteroclinic-like orbits in a neighbourhood of the critical set of a ...
    • Order reduction, projectability and constrainsts of second-order field theories and higuer-order mechanics 

      Gaset Rifà, Jordi; Román Roy, Narciso (2016-12-01)
      Article
      Accés obert
      The consequences of the projectability of Poincar\'e-Cartan forms in a third-order jet bundle $J^3\pi$ to a lower-order jet bundle are analyzed using the constraint algorithm for the Euler-Lagrange equations in $J^3\pi$. ...
    • Remarks on multisymplectic reduction 

      Echeverría Enríquez, Arturo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2018-06-01)
      Article
      Accés obert
      The problem of reduction of multisymplectic manifolds by the action of Lie groups is stated and discussed, as a previous step to give a fully covariant scheme of reduction for classical field theories with symmetries.