32 citations · 126 across the 16 of their papers we have counts for
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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…
math.DG2011★ 11 cited
The Cartan form for constrained Lagrangian systems and the nonholonomic Noether theorem
M. Crampin, T. Mestdag
This paper deals with conservation laws for mechanical systems with nonholonomic constraints. It uses a Lagrangian formulation of nonholonomic systems and a Cartan form approach. W…
math.DG2011★ 3 cited
Reduction of invariant constrained systems using anholonomic frames
M. Crampin, T. Mestdag
We analyze two reduction methods for nonholonomic systems that are invariant under the action of a Lie group on the configuration space. Our approach for obtaining the reduced equa…