Exploració per autor "De León, Manuel"

Ara es mostren els items 1-7 de 7

    • 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 ...

    • 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 ...

    • 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 ...

    • 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 ...

    • The Herglotz principle and vakonomic dynamics 

      Muñoz Lecanda, Miguel Carlos; De León, Manuel; Lainz Valcázar, Manuel (Springer Nature, 2021-07-21)
      Comunicació de congrés
      Accés obert
      In this paper we study vakonomic dynamics on contact systems with nonlinear constraints. In order to obtain the dynamics, we consider a space of admisible paths, which are the ones tangent to a given submanifold. Then, we ...

    • 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
      Accés obert
      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 ...

    • Unified Lagrangian-Hamiltonian formalism for contact systems 

      De León, Manuel; Gaset Rifà, Jordi; Lainz Valcázar, Manuel; Rivas Guijarro, Xavier; Román Roy, Narciso (2020-06-23)
      Article
      Accés obert
      We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of contact autonomous mechanical systems, which is based on the approach of the pioneering work of R. Skinner and R. ...