Now showing items 1-20 of 99

    • A contact geometry framework for field theories with dissipation 

      Gaset Rifà, Jordi; Gràcia Sabaté, Francesc Xavier; Muñoz Lecanda, Miguel Carlos; Rivas Guijarro, Xavier; Román Roy, Narciso (2020-03-01)
      Article
      Open Access
      We develop a new geometric framework suitable for dealing with Hamiltonian field theories with dissipation. To this end we define the notions of k-contact structure and k-contact Hamiltonian system. This is a generalization ...
    • A K-contact Lagrangian formulation for nonconservative field theories 

      Gaset Rifà, Jordi; Gràcia Sabaté, Francesc Xavier; Muñoz Lecanda, Miguel Carlos; Rivas Guijarro, Xavier; Román Roy, Narciso (2021-06-01)
      Article
      Restricted access - publisher's policy
      Dynamical systems with dissipative behaviour can be described in terms of contact manifolds and a modified version of Hamilton's equations. Dissipation terms can also be added to field equations, as showed in a recent paper ...
    • 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 ...
    • A summary on symmetries and conserved quantities of autonomous Hamiltonian systems 

      Román Roy, Narciso (AMER INST MATHEMATICAL SCIENCES-AIMS, 2020)
      Article
      Open Access
      A complete geometric classification of symmetries of autonomous Hamiltonian systems is established; explaining how to obtain their associated conserved quantities in all cases. In particular, first we review well-known ...
    • An overview of the Hamilton–Jacobi theory: the classical and geometrical approaches and some extensions and applications 

      Román Roy, Narciso (Multidisciplinary Digital Publishing Institute (MDPI), 2021-01-01)
      Article
      Open Access
      This work is devoted to review the modern geometric description of the Lagrangian and Hamiltonian formalisms of the Hamilton–Jacobi theory. The relation with the “classical” Hamiltonian approach using canonical transformations ...
    • Apuntes completos de la 1ª parte de Modelos matemáticos de la física 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2022-06-17)
      Lecture notes
      Open Access
    • Apuntes de Gravitación y Electromagnetismo 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2022-06-17)
      Lecture notes
      Open Access
    • CÀLCUL DIFERENCIAL 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2018-06-27)
      Exam
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    • CÀLCUL DIFERENCIAL 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2018-05-31)
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    • CÀLCUL DIFERENCIAL 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2017-07-03)
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    • CÀLCUL DIFERENCIAL 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2018-04-05)
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    • CÀLCUL DIFERENCIAL | ( Extraordinari 2n Q) 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2019-07-02)
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    • CÀLCUL DIFERENCIAL | ( Final 2n Q) 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2019-06-06)
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    • CÀLCUL DIFERENCIAL | ( Final 2n Q) 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2017-05-30)
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    • CÀLCUL DIFERENCIAL | ( Parcial 2n Q) 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2017-03-27)
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    • CÀLCUL DIFERENCIAL | ( Parcial 2n Q) 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2019-04-04)
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    • CÀLCUL DIFERENCIAL | EXTRAORDINARI 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2020-07-13)
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    • CÀLCUL DIFERENCIAL | FINAL 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2020-06-06)
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    • CÀLCUL EN UNA VARIABLE | Final 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2020-01-08)
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    • CÀLCUL EN UNA VARIABLE | Parcial 

      Román Roy, Narciso (Universitat Politècnica de Catalunya, 2019-11-07)
      Exam
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