2023
DOI: 10.1088/1751-8121/aceae3
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Lagrangian reduction of forced discrete mechanical systems

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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