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      Aspects of reduction and transformation of Lagrangian systems with symmetry

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          Abstract

          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 reduction process itself is entirely captured by the application of such a new transformation on the initial Lagrangian system with symmetry.

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          Author and article information

          Journal
          06 February 2014
          Article
          10.3934/jgm.2014.6.1
          1402.1295

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          37J05, 37J15, 53D20
          Journal of Geometric Mechanics, 6 (2014). 1 - 23
          To appear in Journal of Geometric Mechanics
          math-ph math.MP

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