16 citations · 96 across the 12 of their papers we have counts for
4 papers · 1 filter
Discrete Hamilton-Jacobi theory for systems with external forces
Manuel de León, Manuel Lainz, Asier López-Gordón
This paper is devoted to discrete mechanical systems subject to external forces. We introduce a discrete version of systems with Rayleigh-type forces, obtain the equations of motio…
Geometric Hamilton-Jacobi theory for systems with external forces
Manuel de León, Manuel Lainz, Asier López-Gordón
In this paper, we develop a Hamilton-Jacobi theory for forced Hamiltonian and Lagrangian systems. We study the complete solutions, particularize for Rayleigh systems and present so…
The Herglotz principle and vakonomic dynamics
Manuel de León, Manuel Lainz, Miguel C. Muñoz-Lecanda
In this paper we study vakonomic dynamics on contact systems with nonlinear constraints. In order to obtain the dynamics, we consider a space of admisible paths, which are the ones…
Symmetries, constants of the motion and reduction of mechanical systems with external forces
Manuel de León, Manuel Lainz, Asier López-Gordón
This paper is devoted to the study of mechanical systems subjected to external forces in the framework of symplectic geometry. We obtain a Noether's theorem for Lagrangian systems…