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Routh Reduction by Stages by Langerock, Bavo; Mestdag, Tom; Vankerschaver, Joris is a scholarly article available to read on EtoBox.

What is Routh Reduction by Stages about?

This paper deals with the Lagrangian analogue of symplectic or point reduction by stages. We develop Routh reduction as a reduction technique that preserves the Lagrangian nature of the dynamics. To do so we heavily rely on the relation between Routh reduction and cotangent symplectic reduction. The main results in this paper are: (i) we develop a class of so called magnetic Lagrangian systems and this class has the property that it is closed under Routh reduction; (ii) we construct a transformation relating the magnetic Lagrangian system obtained after two subsequent Routh reductions and the magnetic Lagrangian system obtained after Routh reduction w.r.t. to the full symmetry group.

Author

Langerock, Bavo; Mestdag, Tom; Vankerschaver, Joris

Published

2011

Language

EN