77 citations · 818 across the 61 of their papers we have counts for
5 papers · 1 filter
Generalized hybrid momentum maps and reduction by symmetries of forced mechanical systems with inelastic collisions
Leonardo J. Colombo, Manuel de León, María Emma Eyrea Irazú +1
This paper discusses reduction by symmetries for autonomous and non-autonomous forced mechanical systems with inelastic collisions. In particular, we introduce the notion of genera…
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…
Constrained Lagrangian dissipative contact dynamics
Manuel de León, Manuel Laínz, Miguel C. Muñoz-Lecanda +1
We show that the contact dynamics obtained from the Herglotz variational principle can be described as a constrained nonholonomic or vakonomic ordinary Lagrangian system depending…
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…