A note on Hybrid Routh reduction for time-dependent Lagrangian systems
Mathematical Physics
2020-03-18 v1 math.MP
Abstract
This note discusses Routh reduction for hybrid time-dependent mechanical systems. We give general conditions on whether it is possible to reduce by symmetries a hybrid time-dependent Lagrangian system extending and unifying previous results for continuous-time systems. We illustrate the applicability of the method using the example of a billiard with moving walls.
Keywords
Cite
@article{arxiv.2003.07484,
title = {A note on Hybrid Routh reduction for time-dependent Lagrangian systems},
author = {Leonardo J. Colombo and Maria Emma Eyrea Irazú and Eduardo García-Toraño Andrés},
journal= {arXiv preprint arXiv:2003.07484},
year = {2020}
}