Recent Submissions

  • Unified formalism for the generalized kth-order Hamilton-Jacobi problem 

    Colombo, Leonardo; De León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso (2014-10-01)
    Article
    Open Access
    The geometric formulation of the Hamilton-Jacobi theory enables us to generalize it to systems of higher-order ordinary differential equations. In this work we introduce the unified Lagrangian-Hamiltonian formalism for the ...
  • 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 ...
  • Higher-order mechanics: variational principles and other topics 

    Prieto Martínez, Pedro Daniel; Román Roy, Narciso (American Institute of Mathematical Sciences, 2013-12)
    Article
    Open Access
    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 ...
  • 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
    Open Access
    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 ...
  • Higher education needs for the information and communication technology spanish market 

    Llorens García, Ariadna; Llinàs Audet, Francisco Javier; Ras Sabido, Antoni (2011-10)
    Article
    Open Access
    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 ...
  • 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 (2011-02)
    Article
    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 ...
  • On the k-symplectic, k-cosymplectic and multisymplectic formalisms of classical field theories 

    Román Roy, Narciso; Rey, Angel M.; Salgado, Modesto; Vilariño, Silvia (American Institute of Mathematical Sciences, 2011-03)
    Article
    Restricted access - publisher's policy
    The objective of this work is twofold: First, we analyze the relation between the k-cosymplectic and the k-symplectic Hamiltonian and Lagrangian formalisms in classical eld theories. In particular, we prove the equivalence ...
  • Lagrangian-Hamiltonian unified formalism for autonomous higher order dynamical systems 

    Prieto Martínez, Pedro Daniel; Román Roy, Narciso (2011-09-23)
    Article
    Restricted access - confidentiality agreement
    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 ...
  • The ICT skills gap in Spain: industry expectations versus university preparation 

    Llorens García, Ariadna; Llinàs Audet, Francisco Javier; Ras Sabido, Antoni; Chiaramonte Cipolla, Luis Alejandro (2010-06-29)
    Article
    Restricted access - publisher's policy
    This article distinguishes which generic skills are the key to enable newly graduated engineers, basically computer and telecommunication engineers, to enter the information and communication technology (ICT) sector, ...
  • Multisymplectic Lagrangian and Hamiltonian formalisms of classical field theories 

    Román Roy, Narciso (2009)
    Article
    Open Access
    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 ...

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