28 citations · 44 across the 3 of their papers we have counts for
3 papers
Aspects of reduction and transformation of Lagrangian systems with symmetry
E. García-Toraño Andrés, B. Langerock, F. Cantrijn
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…
Routh reduction and the class of magnetic Lagrangian systems
B. Langerock, E. García-Toraño Andrés, F. Cantrijn
In this paper, some new aspects related to Routh reduction of Lagrangian systems with symmetry are discussed. The main result of this paper is the introduction of a new concept of…
Routhian reduction for quasi-invariant Lagrangians
B. Langerock, F. Cantrijn, J. Vankerschaver
In this paper we describe Routhian reduction as a special case of standard symplectic reduction, also called Marsden-Weinstein reduction. We use this correspondence to present a ge…