28 citations · 93 across the 8 of their papers we have counts for
8 papers
Routh Reduction by Stages
Bavo Langerock, Tom Mestdag, Joris Vankerschaver
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 o…
Routh reduction for singular Lagrangians
Bavo Langerock, Marco Castrillón López
This paper concerns the Routh reduction procedure for Lagrangians systems with symmetry. It differs from the existing results on geometric Routh reduction in the fact that no regul…
Dynamics of the Tippe Top via Routhian Reduction
M. C. Ciocci, B. Langerock
We consider a tippe top modeled as an eccentric sphere, spinning on a horizontal table and subject to a sliding friction. Ignoring translational effects, we show that the system is…
A Lie algebroid framework for non-holonomic systems
Tom Mestdag, Bavo Langerock
In order to obtain a framework in which both non-holonomic mechanical systems and non-holonomic mechanical systems with symmetry can be described, we introduce in this paper the no…
Geometric aspects of the Maximum Principle and lifts over a bundle map
B. Langerock
A coordinate-free proof of the Maximum Principle is provided in the specific case of an optimal control problem with fixed time. Our treatment heavily relies on a special notion of…
Leafwise holonomy of connections over a bundle map
B. Langerock
In this paper we introduce a generalisation of the notion of holonomy for connections over a bundle map on a principal fibre bundle. We prove that, as in the standard theory on pri…