Enviaments recents

  • Regularity properties of fiber derivatives associated with higher-order mechanical systems 

    Colombo, Leonardo; Prieto Martínez, Pedro Daniel (2016-08)
    Article
    Accés obert
    The aim of this work is to study fiber derivatives associated to Lagrangian and Hamiltonian functions describing the dynamics of a higher-order autonomous dynamical system. More precisely, given a function in T*T(k-1)Q, ...
  • 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 ...
  • Structural aspects of Hamilton–Jacobi theory 

    Cariñena Marzo, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez Fernandez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2016-02-01)
    Article
    Accés obert
    In our previous papers [11, 13] we showed that the Hamilton–Jacobi problem can be regarded as a way to describe a given dynamics on a phase space manifold in terms of a family of dynamics on a lower-dimensional manifold. ...
  • Variational principles and symmetries on fibered multisymplectic manifolds 

    Gaset Rifà, Jordi; Prieto Martínez, Pedro Daniel; Román Roy, Narciso (2016-12-01)
    Article
    Accés obert
    The standard techniques of variational calculus are geometrically stated in the ambient of fiber bundles endowed with a (pre)multi-symplectic structure. Then, for the corresponding variational equations, conserved quantities ...
  • The wave equation for stiff strings and piano tuning 

    Gràcia Sabaté, Francesc Xavier; Sanz Perela, Tomás (2017)
    Article
    Accés obert
    We study the wave equation for a string with stiffness. We solve the equation and provide a uniqueness theorem with suitable boundary conditions. For a pinned string we compute the spectrum, which is slightly inharmonic. ...
  • Order reduction, projectability and constrainsts of second-order field theories and higuer-order mechanics 

    Gaset Rifà, Jordi; Román Roy, Narciso (2016-12-01)
    Article
    Accés obert
    The consequences of the projectability of Poincar\'e-Cartan forms in a third-order jet bundle $J^3\pi$ to a lower-order jet bundle are analyzed using the constraint algorithm for the Euler-Lagrange equations in $J^3\pi$. ...
  • 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 ...
  • 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 restringit per política de l'editorial
    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.
  • Music and mathematics. From Pythagoras to fractals 

    Gràcia Sabaté, Francesc Xavier (2015-12-30)
    Article
    Accés obert
  • Matemots 

    Gràcia Sabaté, Francesc Xavier (Societat Catalana de Matemàtiques (SCM), 2015-12)
    Article
    Accés obert

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