44 citations · 121 across the 13 of their papers we have counts for
5 papers · 2 filters
The ubiquity of the symplectic hamiltonian equations in mechanics
P. Balseiro, M. de Leon, J. C. Marrero +1
In this paper, we derive a "hamiltonian formalism" for a wide class of mechanical systems, including classical hamiltonian systems, nonholonomic systems, some classes of servomecha…
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…
Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic Mechanics
Manuel de Leon, Juan Carlos Marrero, D. Martin de Diego
In this paper, we study the underlying geometry in the classical Hamilton-Jacobi equation. The proposed formalism is also valid for nonholonomic systems. We first introduce the ess…