73 citations · 670 across the 56 of their papers we have counts for
6 papers · 1 filter
Hamilton-Jacobi Theory in k-Symplectic Field Theories
M. De LeÓn, D. MartÍn De Diego, J. C. Marrero +2
In this paper we extend the geometric formalism of Hamilton-Jacobi theory for Mechanics to the case of classical field theories in the k-symplectic framework.
Constrained Variational Calculus for Higher Order Classical Field Theories
Cedric M. Campos, Manuel de Leon, David Martin de Diego
We develop an intrinsic geometrical setting for higher order constrained field theories. As a main tool we use an appropriate generalization of the classical Skinner-Rusk formalism…
Quasivelocities and Optimal Control for Underactuated Mechanical Systems
L. Colombo, D. Martin de Diego
This paper is concerned with the application of the theory of quasivelocities for optimal control for underactuated mechanical systems. Using this theory, we convert the original p…
Simulating Nonholonomic Dynamics
M. Kobilarov, D. Martín de Diego, S. Ferraro
This paper develops different discretization schemes for nonholonomic mechanical systems through a discrete geometric approach. The proposed methods are designed to account for the…
Reduced classical field theories. k-cosymplectic formalism on Lie algebroids
D. Martin de Diego, S. Vilariño
In this paper we introduce a geometric description of Lagrangian and Hamiltonian classical field theories on Lie algebroids in the framework of -cosymplectic geometry. We discus…
A unified framework for mechanics. Hamilton-Jacobi equation and applications
P. Balseiro, J. C. Marrero, D. Martin de Diego +1
In this paper, we construct Hamilton-Jacobi equations for a great variety of mechanical systems (nonholonomic systems subjected to linear or affine constraints, dissipative systems…