29 citations · 60 across the 5 of their papers we have counts for
5 papers
K-symplectic formalism on Lie algebroids
M. de Leon, D. Martin de Diego, M. Salgado +1
In this paper we introduce a geometric description of Lagrangian and Hamiltonian classical field theories on Lie algebroids in the framework of k-symplectic geometry. We discuss th…
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…
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…
Non-holonomic constrained systems as implicit differential equations
L. A. Ibort, M. de Leon, G. Marmo +1
Non-holonomic constraints, both in the Lagragian and Hamiltonian formalism, are discussed from the geometrical viewpoint of implicit differential equations. A precise statement of…
On the geometry of generalized Chaplygin systems
F. Cantrijn, J. Cortes, M. de Leon +1
Some aspects of the geometry and the dynamics of generalized Chaplygin systems are investigated. First, two different but complementary approaches to the construction of the reduce…