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arxiv: 2202.08588 · v2 · pith:C2C5DAKP · submitted 2022-02-17 · math.DS · math.SG

Hybrid Routhian reduction for simple hybrid forced Lagrangian systems

Mar\'ia Emma Eyrea Iraz\'u , Asier L\'opez-Gord\'on , Leonardo J. Colombo , Manuel de Le\'on This is my paper

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classification math.DS math.SG
keywords hybridreductionsimplecaseforcedlagrangiansymmetrysystems
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This paper discusses Routh reduction for simple hybrid forced mechanical systems. We give general conditions on whether it is possible to perform symmetry reduction for a simple hybrid Lagrangian system subject to non-conservative external forces, emphasizing the case of case of cyclic coordinates. We illustrate the applicability of the symmetry reduction procedure with an example and numerical simulations.

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