Aspects of reduction and transformation of lagrangian systems with symmetry
García-Torraño Andrés, E.
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This paper contains results on geometric Routh reduction and it is a continuation of a previous paper  where a new class of transformations is introduced between Lagrangian systems obtained after Routh reduction. In general, these reduced Lagrangian systems have magnetic force terms and are singular in the sense that the Lagrangian does not depend on some velocity components. The main purpose of this paper is to show that the Routh re-duction process itself is entirely captured by the application of such a new transformation on the initial Lagrangian system with symmetry.
CitationGarcía-Torraño Andrés, E.; Langerock, B.; Cantrijn, F. (2014). Aspects of reduction and transformation of lagrangian systems with symmetry. , Journal of Geometric Mechanics, Vol. 6, Issue 1, 1-24, DOI: 10.3934/jgm.2014.6.1.