info:eu-repo/semantics/article
Lagrangian reduction of nonholonomic discrete mechanical systems
Fecha
2010-03Registro en:
Fernández, Javier; Tori, Cora Ines; Zuccalli, Marcela; Lagrangian reduction of nonholonomic discrete mechanical systems; American Institute of Mathematical Sciences; Journal of Geometric Mechanics; 2; 1; 3-2010; 69-111
1941-4889
CONICET Digital
CONICET
Autor
Fernández, Javier
Tori, Cora Ines
Zuccalli, Marcela
Resumen
In this paper we propose a process of lagrangian reduction and<br />reconstruction for nonholonomic discrete mechanical systems where the action of a continuous symmetry group makes the configuration space a principal bundle. The result of the reduction process is a discrete dynamical system that we call the discrete reduced system. We illustrate the techniques by analyzing two types of discrete symmetric systems where it is possible to go further and obtain (forced) discrete mechanical systems that determine the dynamics of the discrete reduced system.