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arXiv · 2307.13167

Lagrangian reduction of forced discrete mechanical systems

Matías I. Caruso·Javier Fernández·Cora Tori·Marcela Zuccalli
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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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Matías I. Caruso, Javier Fernández, Cora Tori, Marcela Zuccalli. 2023-07-24. Lagrangian reduction of forced discrete mechanical systems. https://doi.org/10.1088/1751-8121%2Faceae3

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