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

2020/03/17 by Leonardo J. Colombo, Colombo, Leonardo J., Maria Emma Eyrea Irazú +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.2003.07484

arxiv created 2020/03/17 · arxiv updated 2020/03/18

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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