111 citations · 296 across the 19 of their papers we have counts for
5 papers · 1 filter
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…
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…
Nonholonomic constraints in -symplectic Classical Field Theories
M. de Leon, D. Martin de Diego, M. Salgado +1
A -symplectic framework for classical field theories subject to nonholonomic constraints is presented. If the constrained problem is regular one can construct a projection opera…
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…