16 citations · 31 across the 5 of their papers we have counts for
4 papers · 1 filter
Fractional damping through restricted calculus of variations
Fernando Jiménez, Sina Ober-Blöbaum
We deliver a novel approach towards the variational description of Lagrangian mechanical systems subject to fractional damping by establishing a restricted Hamilton's principle. Fr…
Hamilton-Dirac systems for charged particles in gauge fields
Fernando Jimenez
In this work, we use the Sternberg phase space (which may be considered as the classical phase space of particles in gauge fields) in order to explore the dynamics of such particle…
Discrete second-order Euler-Poincaré equations. Applications to optimal control
Leonardo Colombo, Fernando Jimenez, David Martin de Diego
In this paper we will discuss some new developments in the design of numerical methods for optimal control problems of Lagrangian systems on Lie groups. We will construct these geo…
Hamiltonian dynamics and constrained variational calculus: continuous and discrete settings
Manuel de Leon, Fernando Jimenez, David Martin de Diego
The aim of this paper is to study the relationship between Hamiltonian dynamics and constrained variational calculus. We describe both using the notion of Lagrangian submanifolds o…