22 citations · 91 across the 9 of their papers we have counts for
Showing 2008 · math.DGShow all
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math.DG2008★ 14 cited
Reduction and reconstruction aspects of second-order dynamical systems with symmetry
M. Crampin, T. Mestdag
We examine the reduction process of a system of second-order ordinary differential equations which is invariant under a Lie group action. With the aid of connection theory, we expl…
math.DG2008★ 9 cited
Relative equilibria of Lagrangian systems with symmetry
M. Crampin, T. Mestdag
We discuss the characterization of relative equilibria of Lagrangian systems with symmetry.
math.DG2008★ 13 cited
Invariant Lagrangians, mechanical connections and the Lagrange-Poincare equations
T. Mestdag, M. Crampin
We deal with Lagrangian systems that are invariant under the action of a symmetry group. The mechanical connection is a principal connection that is associated to Lagrangians which…