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

17 Mar 2020 · Colombo Leonardo J., Irazú Maria Emma Eyrea, Andrés Eduardo García-Toraño ·

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

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