Now showing items 13-24 of 66

    • Music and mathematics. From Pythagoras to fractals 

      Gràcia Sabaté, Francesc Xavier (2015-12-30)
      Article
      Open Access
    • Matemots 

      Gràcia Sabaté, Francesc Xavier (Societat Catalana de Matemàtiques (SCM), 2015-12)
      Article
      Open Access
    • Matemots 

      Gràcia Sabaté, Francesc Xavier (Societat Catalana de Matemàtiques (SCM), 2014-07)
      Article
      Open Access
    • Matemots 

      Gràcia Sabaté, Francesc Xavier (Societat Catalana de Matemàtiques (SCM), 2014-01)
      Article
      Open Access
    • Matemots 

      Gràcia Sabaté, Francesc Xavier (Societat Catalana de Matemàtiques (SCM), 2013-07)
      Article
      Open Access
    • Matemots 

      Gràcia Sabaté, Francesc Xavier (Societat Catalana de Matemàtiques (SCM), 2013-02)
      Article
      Open Access
    • 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
      Open Access
      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 ...
    • Hamilton-Jacobi theory in multisymplectic classical field theories 

      de León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso; Vilariño, Silvia (2015-04-08)
      External research report
      Open Access
      The geometric framework for the Hamilton-Jacobi theory developed in [14, 17, 39] is extended for multisymplectic first-order classical field theories. The Hamilton-Jacobi problema is stated for the Lagrangian and the ...
    • Variational principles for multisymplectic second-order classical field theories 

      Román Roy, Narciso; Prieto Martínez, Pedro Daniel (2015-09-01)
      Article
      Open Access
      We state a unified geometrical version of the variational principles for second-order classical field theories. The standard Lagrangian and Hamiltonian variational principles and the corresponding field equations are ...
    • Reduction of polysymplectic manifolds 

      Marrero, Juan Carlos; Román Roy, Narciso; Salgado Seco, Modesto; Vilariño, Silvia (2015-02-06)
      Article
      Open Access
      The aim of this paper is to generalize the classical Marsden-Weinstein reduction procedure for symplectic manifolds to polysymplectic manifolds in order to obtain quotient manifolds which inherit the polysymplectic structure. ...
    • 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 ...