Hybrid Routhian reduction for simple hybrid forced Lagrangian systems

Asier L\'opez-Gord\'on; Leonardo J. Colombo; Manuel de Le\'on; Mar\'ia Emma Eyrea Iraz\'u

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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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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.

Hybrid Routhian reduction for simple hybrid forced Lagrangian systems

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