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    • A Hamiltonian study of the stability and bifurcations for the satellite problem 

      Muñoz Lecanda, Miguel Carlos; Rodríguez Olmos, Miguel Andrés; Teixidó Román, Miguel (2015-10-01)
      Article
      Accés obert
      We study the dynamics of a rigid body in a central gravitational field modeled as a Hamiltonian system with continuous rotational symmetries following the geometric framework of Wang et al. Novelties of our work are the ...

    • 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 ...

    • Anímate a participar en "Ciencia en Acción" y "Adopta una Estrella" 

      Ros Ferré, Rosa Maria (2009)
      Article
      Accés restringit per decisió de l'autor

    • Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2 

      García Naranjo Ortiz de la Huerta, Luis Constantino; Marrero, Juan Carlos; Perez Chavela, Ernesto; Rodríguez Olmos, Miguel Andrés (2016-01-13)
      Article
      Accés obert
      We classify and analyze the stability of all relative equilibria for the two-body problem in the hyperbolic space of dimension 2 and we formulate our results in terms of the intrinsic Riemannian data of the problem.

    • Constraint algorithm for extremals in optimal control problems 

      Barbero Liñán, María; Muñoz Lecanda, Miguel Carlos (2007-07-27)
      Article
      Accés obert
      A characterization of different kinds of extremals of optimal control problems is given if we take an open control set. A well known constraint algorithm for implicit differential equations is adapted to the study of ...

    • 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 ...

    • Continuous singularities in hamiltonian relative equilibria with abelian momentum isotropy 

      Rodríguez Olmos, Miguel Andrés (American Institute of Mathematical Sciences, 2020)
      Article
      Accés restringit per política de l'editorial
      We survey several aspects of the qualitative dynamics around Hamiltonian relative equilibria. We pay special attention to the role of continuous singularities and its effect in their stability, persistence and bifurcations. ...

    • 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 ...

    • Estudio del horizonte local 

      Ros Ferré, Rosa Maria (2009)
      Article
      Accés obert
      El estudio del horizonte es fundamental para poder facilitar las primeras observaciones de los alumnos en un centro educativo. Un simple modelo, que debe realizarse para cada centro, nos permite facilitar el estudio y la ...

    • Geometric approach to Pontryagin's Maximum Principle 

      Barbero Liñán, María; Muñoz Lecanda, Miguel Carlos (Springer Netherlands, 2008-10)
      Article
      Accés obert
      Since the second half of the 20th century, Pontryagin’s Maximum Principle has been widely discussed and used as a method to solve optimal control problems in medicine, robotics, finance, engineering, astronomy. Here, we ...

    • 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 

      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 in multisymplectic classical field theories 

      De León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso; Vilariño Fernández, Silvia (2017-09-01)
      Article
      Accés obert
      The geometric framework for the Hamilton-Jacobi theory developed in the studies of Carinena et al. [Int. J. Geom. Methods Mod. Phys. 3(7), 1417-1458 (2006)], Carinena et al. [Int. J. Geom. Methods Mod. Phys. 13(2), 1650017 ...

    • 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 education needs for the information and communication technology spanish market 

      Llorens García, Ariadna; Llinàs Audet, Francisco Javier; Ras Sabido, Antoni (2011-10)
      Article
      Accés obert
      Purpose: The main objective of the paper is to clarify the expectations held in the realm of business and by employers, in relation to the main educational parameters that respond to the employment needs of the Information ...

    • 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 ...

    • Kinematic reduction and the Hamilton-Jacobi equation 

      Barbero Liñán, María; De León, Manuel; Martin de Diego, David; Marrero, Juan Carlos; Muñoz Lecanda, Miguel Carlos (American Institute of Mathematical Sciences, 2012)
      Article
      Accés obert
      A close relationship between the classical Hamilton- Jacobi theory and the kinematic reduction of control systems by decoupling vector fields is shown in this paper. The geometric interpretation of this relationship ...

    • 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 ...