43 citations · 352 across the 38 of their papers we have counts for
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math-ph2011★ 12 cited
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…
math-ph2011
Hamiltonization and geometric integration of nonholonomic mechanical systems
T. Mestdag, A. M. Bloch, O. E. Fernandez
In this paper we study a Hamiltonization procedure for mechanical systems with velocity-depending (nonholonomic) constraints. We first rewrite the nonholonomic equations of motion…