16 citations · 31 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
On the discretization of nonholonomic dynamics in
Fernando Jimenez, Juergen Scheurle
In this paper we explore the nonholonomic Lagrangian setting of mechanical systems in local coordinates on finite-dimensional configuration manifolds. We prove existence and unique…