Lagrangian reduction of forced discrete mechanical systems
arXiv:2307.13167 · doi:10.1088/1751-8121/aceae3
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.
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