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arXiv · 2003.07484

A note on Hybrid Routh reduction for time-dependent Lagrangian systems

Leonardo J. Colombo·Maria Emma Eyrea Irazú·Eduardo García-Toraño Andrés
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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.

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Leonardo J. Colombo, Maria Emma Eyrea Irazú, Eduardo García-Toraño Andrés. 2020-03-17. A note on Hybrid Routh reduction for time-dependent Lagrangian systems. https://arxiv.org/abs/2003.07484

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