29 citations · 47 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
Nonholonomic systems on Lie algebroids
Jorge Cortes, Manuel de Leon, Juan Carlos Marrero +1
This paper is a revised version of a previously posted paper in arxiv. The authors posted it as a new submission by mistake. The latest version of the paper can be found at arXiv:m…
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…
Some applications of semi-discrete variational integrators to classical field theories
Manuel de Leon, Juan Carlos Marrero, David Martin de Diego
We develop a semi-discrete version of discrete variational mechanics with applications to numerical integration of classical field theories. The geometric preservation properties a…