111 citations · 611 across the 19 of their papers we have counts for
19 papers
Sundman transformation and alternative tangent structuresSundman transformation and alternative tangent structures
José F. Cariñena, Eduardo Martínez, Miguel C. Muñoz-Lecanda
A geometric approach to Sundman transformation defined by basic functions for systems of second-order differential equations is developed and the necessity of a change of the tange…
Some applications of quasi-velocities in optimal control
L. Abrunheiro, M. Camarinha, J. F. Cariñena +3
In this paper we study optimal control problems for nonholonomic systems defined on Lie algebroids by using quasi-velocities. We consider both kinematic, i.e. systems whose cost fu…
Geometric Hamilton-Jacobi Theory for Nonholonomic Dynamical Systems
J. F. Cariñena, X. Gracia, G. Marmo +3
The geometric formulation of Hamilton--Jacobi theory for systems with nonholonomic constraints is developed, following the ideas of the authors in previous papers. The relation bet…
Hamilton-Jacobi theory and the evolution operator
J. F. Carinena, X. Gracia, E. Martinez +3
We present a new setting of the geometric Hamilton-Jacobi theory by using the so-called time-evolution operator K. This new approach unifies both the Lagrangian and the Hamiltonian…
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…
Discrete Nonholonomic Lagrangian Systems on Lie Groupoids
D. Iglesias, J. C. Marrero, D. Martin de Diego +1
This paper studies the construction of geometric integrators for nonholonomic systems. We derive the nonholonomic discrete Euler-Lagrange equations in a setting which permits to de…