Abstract:In this paper we propose a process of Lagrangian reduction and
reconstruction for symmetric discrete-time mechanical systems acted
on by external forces, where the symmetry group action on the
configuration manifold turns it into a principal bundle. We analyze
the evolution of momentum maps and Poisson structures under different
conditions.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.