8 citations · 33 across the 13 of their papers we have counts for
13 papers
Discrete connections on principal bundles: the Discrete Atiyah Sequence
Javier Fernandez, Mariana Juchani, Marcela Zuccalli
In this work we study discrete analogues of an exact sequence of vector bundles introduced by M. Atiyah in 1957, associated to any smooth principal -bundle .…
Discrete connections on principal bundles: abelian group case
Javier Fernandez, Mariana Juchani, Marcela Zuccalli
In this note we consider a few interesting properties of discrete connections on principal bundles when the structure group of the bundle is an abelian Lie group. In particular, we…
Lagrangian reduction of nonholonomic discrete mechanical systems by stages
Javier Fernandez, Cora Tori, Marcela Zuccalli
In this work we introduce a category of discrete-time dynamical systems, that we call discrete Lagrange--D'Alembert--Poincaré systems, and study some of its elementary prop…
Lagrangian reduction of discrete mechanical systems by stages
Javier Fernandez, Cora Tori, Marcela Zuccalli
In this work we introduce a category of discrete Lagrange--Poincare systems LP_d and study some of its properties. In particular, we show that the discrete mechanical systems and t…
Discrete second order constrained Lagrangian systems: first results
Nicolas Borda, Javier Fernandez, Sergio Grillo
We briefly review the notion of second order constrained (continuous) system (SOCS) and then propose a discrete time counterpart of it, which we naturally call discrete second orde…
A geometric approach to discrete connections on principal bundles
Javier Fernandez, Marcela Zuccalli
This work revisits, from a geometric perspective, the notion of discrete connection on a principal bundle, introduced by M. Leok, J. Marsden and A. Weinstein. It provides precise d…