43 citations · 352 across the 38 of their papers we have counts for
Showing 2011 · math.DGShow all
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math.DG2011★ 2 cited
Involutive distributions and dynamical systems of second-order type
T. Mestdag, M. Crampin
We investigate the existence of coordinate transformations which bring a given vector field on a manifold equipped with an involutive distribution into the form of a second-order d…
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…