DGDSA  Geometria Diferencial, Sistemes Dinàmics i Aplicacions: Recent submissions
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Multisymplectic unified formalism for EinsteinHilbert gravity
(20180301)
Article
Open AccessWe present a covariant multisymplectic formulation for the EinsteinHilbert model of General Relativity. As it is described by a secondorder singular Lagrangian, this is a gauge field theory with constraints. The use of ... 
HamiltonJacobi theory in multisymplectic classical field theories
(20170901)
Article
Open AccessThe geometric framework for the HamiltonJacobi theory developed in the studies of Carinena et al. [Int. J. Geom. Methods Mod. Phys. 3(7), 14171458 (2006)], Carinena et al. [Int. J. Geom. Methods Mod. Phys. 13(2), 1650017 ... 
The Hamiltonian tube of a cotangentlifted action
(2017)
Article
Open AccessThe MarleGuilleminSternberg (MGS) form is local model for a neighborhood of an orbit of a Hamiltonian Lie group action on a symplectic manifold. One of the main features of the MGS form is that it puts simultaneously in ... 
Regularity properties of fiber derivatives associated with higherorder mechanical systems
(201608)
Article
Open AccessThe aim of this work is to study fiber derivatives associated to Lagrangian and Hamiltonian functions describing the dynamics of a higherorder autonomous dynamical system. More precisely, given a function in T*T(k1)Q, ... 
Equivalence between the Hamiltonian and Lagrangian formalisms for constrained systems
(198608)
Article
Open AccessThe 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
(20160201)
Article
Open AccessIn 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 lowerdimensional manifold. ... 
Variational principles and symmetries on fibered multisymplectic manifolds
(20161201)
Article
Open AccessThe standard techniques of variational calculus are geometrically stated in the ambient of fiber bundles endowed with a (pre)multisymplectic structure. Then, for the corresponding variational equations, conserved quantities ... 
The wave equation for stiff strings and piano tuning
(2017)
Article
Open AccessWe 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 secondorder field theories and higuerorder mechanics
(20161201)
Article
Open AccessThe consequences of the projectability of Poincar\'eCartan forms in a thirdorder jet bundle $J^3\pi$ to a lowerorder jet bundle are analyzed using the constraint algorithm for the EulerLagrange equations in $J^3\pi$. ... 
A Hamiltonian study of the stability and bifurcations for the satellite problem
(20151001)
Article
Open AccessWe 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 twobody problem in the hyperbolic space of dimension 2
(20160113)
Article
Open AccessWe classify and analyze the stability of all relative equilibria for the twobody 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
(20151230)
Article
Open Access