16 citations · 31 across the 5 of their papers we have counts for
9 papers
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…
The variational discretization of the constrained higher-order Lagrange-Poincaré equations
Anthony Bloch, Leonardo Colombo, Fernando Jiménez
In this paper we investigate a variational discretization for the class of mechanical systems in presence of symmetries described by the action of a Lie group which reduces the pha…
Feedback Integrators
Dong Eui Chang, Fernando Jimenez, Matthew Perlmutter
A new method is proposed to numerically integrate a dynamical system on a manifold such that the trajectory stably remains on the manifold and preserves first integrals of the syst…
The geometric discretisation of the Suslov problem: a case study of consistency for nonholonomic integrators
Luis C. Garcia-Naranjo, Fernando Jimenez
Geometric integrators for nonholonomic systems were introduced by Cortés and Martínez in [Nonholonomic integrators, Nonlinearity, 14, 2001] by proposing a discrete Lagrange-D'Alemb…
On some aspects of the discretization of the Suslov problem
Fernando Jimenez, Juergen Scheurle
In this paper we explore the discretization of Euler-Poincaré-Suslov equations on , i.e. of the Suslov problem. We show that the consistency order corresponding to the unred…
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…