44 citations · 163 across the 19 of their papers we have counts for
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Parallel iterative methods for variational integration applied to navigation problems
Sebastián J. Ferraro, David Martín de Diego, Rodrigo T. Sato Martín de Almagro
Discrete variational methods have shown an excellent performance in numerical simulations of different mechanical systems. In this paper, we introduce an iterative method for discr…
Contact bundle formulation of nonholonomic Maupertuis-Jacobi principle and a length minimizing property of nonholonomic dynamics
Alexandre Anahory Simoes, Juan Carlos Marrero, David Martín de Diego
We prove a nonholonomic version of the classical Mauper\-tuis-Jacobi principle which transforms an autonomous mechanical nonholonomic problem, determined by a kinetic minus potenti…
Local convexity for second order differential equations on a Lie algebroid
Juan Carlos Marrero, David Martín de Diego, Eduardo Martínez
A theory of local convexity for a second order differential equation (SODE) on a Lie algebroid is developed. The particular case when the SODE is homogeneous quadratic is extensive…