29 citations · 38 across the 3 of their papers we have counts for
3 papers
math-ph2008
Variational Constrained Mechanics on Lie Affgebroids
Juan Carlos Marrero, David Martin de Diego, Diana Sosa
In this paper we discuss variational constrained mechanics (vakonomic mechanics) on Lie affgebroids. We obtain the dynamical equations and the aff-Poisson bracket associated with a…
math-ph2008★ 29 cited
A Geometric Hamilton-Jacobi Theory for Classical Field Theories
M. de Leon, J. C. Marrero, D. Martin de Diego
In this paper we extend the geometric formalism of the Hamilton-Jacobi theory for hamiltonian mechanics to the case of classical field theories in the framework of multisymplectic…
math-ph2007★ 9 cited
Symmetry aspects of nonholonomic field theories
J. Vankerschaver, D. Martin de Diego
The developments in this paper are concerned with nonholonomic field theories in the presence of symmetries. Having previously treated the case of vertical symmetries, we now deal…